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Finding the Fourth Proportional to 11,154.38, 16,722.86 and 5,882.49

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Solution

The fourth proportional to 11,154.38, 16,722.86 and 5,882.49 is: 8,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.38 : 16,722.86 = 5,882.49 : x
  2. Step 2: Convert to fraction form
    11,154.38/16,722.86 = 5,882.49/x
  3. Step 3: Cross multiply
    11,154.38x = 16,722.86 × 5,882.49
  4. Step 4: Simplify right side
    11,154.38x = 98,372,027.31
  5. Step 5: Solve for x
    x = 98,372,027.31/11,154.38
  6. Step 6: Final answer
    x = 8,819.14

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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.