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Finding the Fourth Proportional to 10,920.38, 16,379.17 and 3,524.06

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Solution

The fourth proportional to 10,920.38, 16,379.17 and 3,524.06 is: 5,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.38 : 16,379.17 = 3,524.06 : x
  2. Step 2: Convert to fraction form
    10,920.38/16,379.17 = 3,524.06/x
  3. Step 3: Cross multiply
    10,920.38x = 16,379.17 × 3,524.06
  4. Step 4: Simplify right side
    10,920.38x = 57,721,209.97
  5. Step 5: Solve for x
    x = 57,721,209.97/10,920.38
  6. Step 6: Final answer
    x = 5,285.64

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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.