In case any diking district organized under the provisions of this act desires to connect its system of dikes with the system of dikes of any other district theretofore organized or constructed, said last mentioned diking district shall be made a party defendant in the proceedings in the superior court for the establishment of the improvement proposed to be constructed by such first mentioned diking district, and the petition to be filed in said court, in addition to the facts to be set forth therein as hereinbefore provided for, shall set forth the further fact that said district is desirous of connecting its said system of dikes with the system of such other diking district, and shall set forth an estimate of the additional cost per annum, if any, for the future maintenance of the diking system so sought to be connected with, and also an estimate of the cost of any additional improvement in said system so sought to be connected with, if any, by reason of such connection, and shall also set forth the amount of compensation which should be made by said diking district for the privilege of connecting with the said system of dikes; and in case it shall be deemed necessary to enlarge or strengthen the system of dikes to be connected with by reason of such connection, there shall be filed with said petition, in addition to the plans, specifications and data hereinbefore provided to be filed, plans and specifications and the estimated cost of the proposed improvement to be made in the system sought to be connected with by reason of such connection, and the proceedings thereon shall be the same as in other cases for the establishment of diking districts under the provisions of this act: PROVIDED, That the jury shall, in addition to the other findings provided for in other cases under the provisions of this act, find the amount of compensation to be paid said district with whose system connection is sought to be made, for any additional cost, if any, which may be thrown upon said district by reason of the increased cost of maintenance by reason of such connection, and shall estimate the amount of such increased cost of maintenance per annum, and also the amount of compensation to be made to said district for the privilege of joining on to its system of dikes; the compensation to be made for the increased cost of maintenance shall be paid per annum out of the revenue derived from the assessments to be levied as in other cases, and the compensation to be made as may be found by the jury to said district whose system is sought to be connected with for the privilege thereof, shall be paid such district as damages are paid in other cases under the provisions of this act; and all amounts so paid to said district sought to be connected with, as compensation for the cost of maintenance, shall be used as an additional fund for the maintenance of said diking system of such district, and the amount of compensation paid for the privilege of connecting with the system of such district shall also be added to the general fund of said district, to be used for the payment of the cost of maintenance of the system of such district sought to be connected with.