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Finding the Fourth Proportional to 8,414.40, 12,568.56 and 8,181.12

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Solution

The fourth proportional to 8,414.40, 12,568.56 and 8,181.12 is: 12,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.40 : 12,568.56 = 8,181.12 : x
  2. Step 2: Convert to fraction form
    8,414.40/12,568.56 = 8,181.12/x
  3. Step 3: Cross multiply
    8,414.40x = 12,568.56 × 8,181.12
  4. Step 4: Simplify right side
    8,414.40x = 102,824,897.59
  5. Step 5: Solve for x
    x = 102,824,897.59/8,414.40
  6. Step 6: Final answer
    x = 12,220.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.