The term 'proportionately distributed' can be abbreviated as 'prorated, ' which is an 8-letter word. Prorating is a process of dividing or allocating something in proportion to its size or value. It is commonly used in accounting and finance to divide payments, expenses, or other items among different parties. For example, when a company pays out dividends to its shareholders, the amount of dividend each shareholder receives is prorated based on the number of shares they own.