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Finding the Fourth Proportional to 8,228.42, 12,344.04 and 2,680.19

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Solution

The fourth proportional to 8,228.42, 12,344.04 and 2,680.19 is: 4,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.42 : 12,344.04 = 2,680.19 : x
  2. Step 2: Convert to fraction form
    8,228.42/12,344.04 = 2,680.19/x
  3. Step 3: Cross multiply
    8,228.42x = 12,344.04 × 2,680.19
  4. Step 4: Simplify right side
    8,228.42x = 33,084,310.85
  5. Step 5: Solve for x
    x = 33,084,310.85/8,228.42
  6. Step 6: Final answer
    x = 4,020.74

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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.