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Finding the Fourth Proportional to 11,439.46, 15,791.82 and 8,607.90

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Solution

The fourth proportional to 11,439.46, 15,791.82 and 8,607.90 is: 11,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.46 : 15,791.82 = 8,607.90 : x
  2. Step 2: Convert to fraction form
    11,439.46/15,791.82 = 8,607.90/x
  3. Step 3: Cross multiply
    11,439.46x = 15,791.82 × 8,607.90
  4. Step 4: Simplify right side
    11,439.46x = 135,934,407.38
  5. Step 5: Solve for x
    x = 135,934,407.38/11,439.46
  6. Step 6: Final answer
    x = 11,882.94

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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.