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Finding the Fourth Proportional to 8,228.91, 12,344.65 and 2,680.96

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Solution

The fourth proportional to 8,228.91, 12,344.65 and 2,680.96 is: 4,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.91 : 12,344.65 = 2,680.96 : x
  2. Step 2: Convert to fraction form
    8,228.91/12,344.65 = 2,680.96/x
  3. Step 3: Cross multiply
    8,228.91x = 12,344.65 × 2,680.96
  4. Step 4: Simplify right side
    8,228.91x = 33,095,553.80
  5. Step 5: Solve for x
    x = 33,095,553.80/8,228.91
  6. Step 6: Final answer
    x = 4,021.86

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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.