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Finding the Fourth Proportional to 8,251.32, 12,378.90 and 2,407.80

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Solution

The fourth proportional to 8,251.32, 12,378.90 and 2,407.80 is: 3,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.32 : 12,378.90 = 2,407.80 : x
  2. Step 2: Convert to fraction form
    8,251.32/12,378.90 = 2,407.80/x
  3. Step 3: Cross multiply
    8,251.32x = 12,378.90 × 2,407.80
  4. Step 4: Simplify right side
    8,251.32x = 29,805,915.42
  5. Step 5: Solve for x
    x = 29,805,915.42/8,251.32
  6. Step 6: Final answer
    x = 3,612.26

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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.