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Finding the Fourth Proportional to 7,614.38, 10,507.78 and 4,257.20

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Solution

The fourth proportional to 7,614.38, 10,507.78 and 4,257.20 is: 5,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.38 : 10,507.78 = 4,257.20 : x
  2. Step 2: Convert to fraction form
    7,614.38/10,507.78 = 4,257.20/x
  3. Step 3: Cross multiply
    7,614.38x = 10,507.78 × 4,257.20
  4. Step 4: Simplify right side
    7,614.38x = 44,733,721.02
  5. Step 5: Solve for x
    x = 44,733,721.02/7,614.38
  6. Step 6: Final answer
    x = 5,874.90

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Why These Related Problems?

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