In any county electing under both Sections 4702 and 4702.5 to follow the procedures authorized by this chapter the tax collector and auditor, or either of them, upon the approval of the county treasurer may apportion assessment levies in the same manner that Section 4713 provides for tax levies except that each fund for which assessments were levied shall be apportioned 100 percent of the assessment levies so determined. Such apportionments shall constitute a full liquidation of the share of each fund in the liens for delinquent assessments appearing on the abstract list and any amounts thereafter received through redemption, sale or rental of the property shall be apportioned in the manner prescribed by Sections 4708, 4710, 4711 and 4712 for years in which the procedure authorized by this chapter has been in effect.