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Finding the Fourth Proportional to 8,171.24, 12,251.18 and 4,475.22

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Solution

The fourth proportional to 8,171.24, 12,251.18 and 4,475.22 is: 6,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.24 : 12,251.18 = 4,475.22 : x
  2. Step 2: Convert to fraction form
    8,171.24/12,251.18 = 4,475.22/x
  3. Step 3: Cross multiply
    8,171.24x = 12,251.18 × 4,475.22
  4. Step 4: Simplify right side
    8,171.24x = 54,826,725.76
  5. Step 5: Solve for x
    x = 54,826,725.76/8,171.24
  6. Step 6: Final answer
    x = 6,709.72

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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.