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Finding the Fourth Proportional to 8,171.64, 12,260.88 and 5,542.11

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Solution

The fourth proportional to 8,171.64, 12,260.88 and 5,542.11 is: 8,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.64 : 12,260.88 = 5,542.11 : x
  2. Step 2: Convert to fraction form
    8,171.64/12,260.88 = 5,542.11/x
  3. Step 3: Cross multiply
    8,171.64x = 12,260.88 × 5,542.11
  4. Step 4: Simplify right side
    8,171.64x = 67,951,145.66
  5. Step 5: Solve for x
    x = 67,951,145.66/8,171.64
  6. Step 6: Final answer
    x = 8,315.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.