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Finding the Fourth Proportional to 8,428.31, 12,639.17 and 3,160.44

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Solution

The fourth proportional to 8,428.31, 12,639.17 and 3,160.44 is: 4,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.31 : 12,639.17 = 3,160.44 : x
  2. Step 2: Convert to fraction form
    8,428.31/12,639.17 = 3,160.44/x
  3. Step 3: Cross multiply
    8,428.31x = 12,639.17 × 3,160.44
  4. Step 4: Simplify right side
    8,428.31x = 39,945,375.22
  5. Step 5: Solve for x
    x = 39,945,375.22/8,428.31
  6. Step 6: Final answer
    x = 4,739.43

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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.