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Finding the Fourth Proportional to 8,171.10, 12,311.17 and 7,391.97

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Solution

The fourth proportional to 8,171.10, 12,311.17 and 7,391.97 is: 11,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.10 : 12,311.17 = 7,391.97 : x
  2. Step 2: Convert to fraction form
    8,171.10/12,311.17 = 7,391.97/x
  3. Step 3: Cross multiply
    8,171.10x = 12,311.17 × 7,391.97
  4. Step 4: Simplify right side
    8,171.10x = 91,003,780.82
  5. Step 5: Solve for x
    x = 91,003,780.82/8,171.10
  6. Step 6: Final answer
    x = 11,137.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.