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Finding the Fourth Proportional to 8,427.54, 12,652.24 and 6,481.12

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Solution

The fourth proportional to 8,427.54, 12,652.24 and 6,481.12 is: 9,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.54 : 12,652.24 = 6,481.12 : x
  2. Step 2: Convert to fraction form
    8,427.54/12,652.24 = 6,481.12/x
  3. Step 3: Cross multiply
    8,427.54x = 12,652.24 × 6,481.12
  4. Step 4: Simplify right side
    8,427.54x = 82,000,685.71
  5. Step 5: Solve for x
    x = 82,000,685.71/8,427.54
  6. Step 6: Final answer
    x = 9,730.09

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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.