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Finding the Fourth Proportional to 10,251.32, 15,377 and 3,677.92

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Solution

The fourth proportional to 10,251.32, 15,377 and 3,677.92 is: 5,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.32 : 15,377 = 3,677.92 : x
  2. Step 2: Convert to fraction form
    10,251.32/15,377 = 3,677.92/x
  3. Step 3: Cross multiply
    10,251.32x = 15,377 × 3,677.92
  4. Step 4: Simplify right side
    10,251.32x = 56,555,375.84
  5. Step 5: Solve for x
    x = 56,555,375.84/10,251.32
  6. Step 6: Final answer
    x = 5,516.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.