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Finding the Fourth Proportional to 11,815.20, 16,304.49 and 7,560.27

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Solution

The fourth proportional to 11,815.20, 16,304.49 and 7,560.27 is: 10,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.20 : 16,304.49 = 7,560.27 : x
  2. Step 2: Convert to fraction form
    11,815.20/16,304.49 = 7,560.27/x
  3. Step 3: Cross multiply
    11,815.20x = 16,304.49 × 7,560.27
  4. Step 4: Simplify right side
    11,815.20x = 123,266,346.61
  5. Step 5: Solve for x
    x = 123,266,346.61/11,815.20
  6. Step 6: Final answer
    x = 10,432.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.