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Finding the Fourth Proportional to 8,171.97, 11,279.91 and 4,814.73

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Solution

The fourth proportional to 8,171.97, 11,279.91 and 4,814.73 is: 6,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.97 : 11,279.91 = 4,814.73 : x
  2. Step 2: Convert to fraction form
    8,171.97/11,279.91 = 4,814.73/x
  3. Step 3: Cross multiply
    8,171.97x = 11,279.91 × 4,814.73
  4. Step 4: Simplify right side
    8,171.97x = 54,309,721.07
  5. Step 5: Solve for x
    x = 54,309,721.07/8,171.97
  6. Step 6: Final answer
    x = 6,645.85

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