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Finding the Fourth Proportional to 10,539.50, 15,804.63 and 5,607.97

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Solution

The fourth proportional to 10,539.50, 15,804.63 and 5,607.97 is: 8,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.50 : 15,804.63 = 5,607.97 : x
  2. Step 2: Convert to fraction form
    10,539.50/15,804.63 = 5,607.97/x
  3. Step 3: Cross multiply
    10,539.50x = 15,804.63 × 5,607.97
  4. Step 4: Simplify right side
    10,539.50x = 88,631,890.46
  5. Step 5: Solve for x
    x = 88,631,890.46/10,539.50
  6. Step 6: Final answer
    x = 8,409.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.