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Finding the Fourth Proportional to 10,605.20, 15,908.80 and 5,057.04

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Solution

The fourth proportional to 10,605.20, 15,908.80 and 5,057.04 is: 7,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.20 : 15,908.80 = 5,057.04 : x
  2. Step 2: Convert to fraction form
    10,605.20/15,908.80 = 5,057.04/x
  3. Step 3: Cross multiply
    10,605.20x = 15,908.80 × 5,057.04
  4. Step 4: Simplify right side
    10,605.20x = 80,451,437.95
  5. Step 5: Solve for x
    x = 80,451,437.95/10,605.20
  6. Step 6: Final answer
    x = 7,586.04

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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.