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Finding the Fourth Proportional to 10,589.91, 15,874.31 and 5,308.80

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Solution

The fourth proportional to 10,589.91, 15,874.31 and 5,308.80 is: 7,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.91 : 15,874.31 = 5,308.80 : x
  2. Step 2: Convert to fraction form
    10,589.91/15,874.31 = 5,308.80/x
  3. Step 3: Cross multiply
    10,589.91x = 15,874.31 × 5,308.80
  4. Step 4: Simplify right side
    10,589.91x = 84,273,510.38
  5. Step 5: Solve for x
    x = 84,273,510.38/10,589.91
  6. Step 6: Final answer
    x = 7,957.91

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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.