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Finding the Fourth Proportional to 8,221.26, 12,333.45 and 2,674.14

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Solution

The fourth proportional to 8,221.26, 12,333.45 and 2,674.14 is: 4,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.26 : 12,333.45 = 2,674.14 : x
  2. Step 2: Convert to fraction form
    8,221.26/12,333.45 = 2,674.14/x
  3. Step 3: Cross multiply
    8,221.26x = 12,333.45 × 2,674.14
  4. Step 4: Simplify right side
    8,221.26x = 32,981,371.98
  5. Step 5: Solve for x
    x = 32,981,371.98/8,221.26
  6. Step 6: Final answer
    x = 4,011.72

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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.