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Finding the Fourth Proportional to 8,195.38, 11,310.62 and 4,658.92

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Solution

The fourth proportional to 8,195.38, 11,310.62 and 4,658.92 is: 6,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.38 : 11,310.62 = 4,658.92 : x
  2. Step 2: Convert to fraction form
    8,195.38/11,310.62 = 4,658.92/x
  3. Step 3: Cross multiply
    8,195.38x = 11,310.62 × 4,658.92
  4. Step 4: Simplify right side
    8,195.38x = 52,695,273.73
  5. Step 5: Solve for x
    x = 52,695,273.73/8,195.38
  6. Step 6: Final answer
    x = 6,429.88

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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.