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Finding the Fourth Proportional to 8,494.43, 12,717 and 5,197.46

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Solution

The fourth proportional to 8,494.43, 12,717 and 5,197.46 is: 7,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.43 : 12,717 = 5,197.46 : x
  2. Step 2: Convert to fraction form
    8,494.43/12,717 = 5,197.46/x
  3. Step 3: Cross multiply
    8,494.43x = 12,717 × 5,197.46
  4. Step 4: Simplify right side
    8,494.43x = 66,096,035.24
  5. Step 5: Solve for x
    x = 66,096,035.24/8,494.43
  6. Step 6: Final answer
    x = 7,781.11

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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.