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Finding the Fourth Proportional to 8,286.64, 12,432.48 and 3,355.36

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Solution

The fourth proportional to 8,286.64, 12,432.48 and 3,355.36 is: 5,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.64 : 12,432.48 = 3,355.36 : x
  2. Step 2: Convert to fraction form
    8,286.64/12,432.48 = 3,355.36/x
  3. Step 3: Cross multiply
    8,286.64x = 12,432.48 × 3,355.36
  4. Step 4: Simplify right side
    8,286.64x = 41,715,446.09
  5. Step 5: Solve for x
    x = 41,715,446.09/8,286.64
  6. Step 6: Final answer
    x = 5,034.06

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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.