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Finding the Fourth Proportional to 8,849.68, 12,207.17 and 5,447.24

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Solution

The fourth proportional to 8,849.68, 12,207.17 and 5,447.24 is: 7,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.68 : 12,207.17 = 5,447.24 : x
  2. Step 2: Convert to fraction form
    8,849.68/12,207.17 = 5,447.24/x
  3. Step 3: Cross multiply
    8,849.68x = 12,207.17 × 5,447.24
  4. Step 4: Simplify right side
    8,849.68x = 66,495,384.71
  5. Step 5: Solve for x
    x = 66,495,384.71/8,849.68
  6. Step 6: Final answer
    x = 7,513.87

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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.