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Finding the Fourth Proportional to 8,154.38, 12,229.89 and 5,151.51

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Solution

The fourth proportional to 8,154.38, 12,229.89 and 5,151.51 is: 7,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.38 : 12,229.89 = 5,151.51 : x
  2. Step 2: Convert to fraction form
    8,154.38/12,229.89 = 5,151.51/x
  3. Step 3: Cross multiply
    8,154.38x = 12,229.89 × 5,151.51
  4. Step 4: Simplify right side
    8,154.38x = 63,002,381.32
  5. Step 5: Solve for x
    x = 63,002,381.32/8,154.38
  6. Step 6: Final answer
    x = 7,726.20

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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.