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Finding the Fourth Proportional to 8,141.64, 12,217.92 and 4,446.52

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Solution

The fourth proportional to 8,141.64, 12,217.92 and 4,446.52 is: 6,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.64 : 12,217.92 = 4,446.52 : x
  2. Step 2: Convert to fraction form
    8,141.64/12,217.92 = 4,446.52/x
  3. Step 3: Cross multiply
    8,141.64x = 12,217.92 × 4,446.52
  4. Step 4: Simplify right side
    8,141.64x = 54,327,225.64
  5. Step 5: Solve for x
    x = 54,327,225.64/8,141.64
  6. Step 6: Final answer
    x = 6,672.76

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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.