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Finding the Fourth Proportional to 8,254.62, 12,382.56 and 3,324.30

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Solution

The fourth proportional to 8,254.62, 12,382.56 and 3,324.30 is: 4,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.62 : 12,382.56 = 3,324.30 : x
  2. Step 2: Convert to fraction form
    8,254.62/12,382.56 = 3,324.30/x
  3. Step 3: Cross multiply
    8,254.62x = 12,382.56 × 3,324.30
  4. Step 4: Simplify right side
    8,254.62x = 41,163,344.21
  5. Step 5: Solve for x
    x = 41,163,344.21/8,254.62
  6. Step 6: Final answer
    x = 4,986.70

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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.