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Finding the Fourth Proportional to 8,228.43, 12,344.04 and 2,680.20

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Solution

The fourth proportional to 8,228.43, 12,344.04 and 2,680.20 is: 4,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.43 : 12,344.04 = 2,680.20 : x
  2. Step 2: Convert to fraction form
    8,228.43/12,344.04 = 2,680.20/x
  3. Step 3: Cross multiply
    8,228.43x = 12,344.04 × 2,680.20
  4. Step 4: Simplify right side
    8,228.43x = 33,084,496.01
  5. Step 5: Solve for x
    x = 33,084,496.01/8,228.43
  6. Step 6: Final answer
    x = 4,020.75

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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.