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Finding the Fourth Proportional to 8,414.46, 12,606.21 and 7,098.66

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Solution

The fourth proportional to 8,414.46, 12,606.21 and 7,098.66 is: 10,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.46 : 12,606.21 = 7,098.66 : x
  2. Step 2: Convert to fraction form
    8,414.46/12,606.21 = 7,098.66/x
  3. Step 3: Cross multiply
    8,414.46x = 12,606.21 × 7,098.66
  4. Step 4: Simplify right side
    8,414.46x = 89,487,198.68
  5. Step 5: Solve for x
    x = 89,487,198.68/8,414.46
  6. Step 6: Final answer
    x = 10,634.93

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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.