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Finding the Fourth Proportional to 10,672.52, 15,991.86 and 7,737.08

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Solution

The fourth proportional to 10,672.52, 15,991.86 and 7,737.08 is: 11,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.52 : 15,991.86 = 7,737.08 : x
  2. Step 2: Convert to fraction form
    10,672.52/15,991.86 = 7,737.08/x
  3. Step 3: Cross multiply
    10,672.52x = 15,991.86 × 7,737.08
  4. Step 4: Simplify right side
    10,672.52x = 123,730,300.17
  5. Step 5: Solve for x
    x = 123,730,300.17/10,672.52
  6. Step 6: Final answer
    x = 11,593.35

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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.