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Finding the Fourth Proportional to 8,221.84, 12,324.66 and 3,542.92

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Solution

The fourth proportional to 8,221.84, 12,324.66 and 3,542.92 is: 5,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.84 : 12,324.66 = 3,542.92 : x
  2. Step 2: Convert to fraction form
    8,221.84/12,324.66 = 3,542.92/x
  3. Step 3: Cross multiply
    8,221.84x = 12,324.66 × 3,542.92
  4. Step 4: Simplify right side
    8,221.84x = 43,665,284.41
  5. Step 5: Solve for x
    x = 43,665,284.41/8,221.84
  6. Step 6: Final answer
    x = 5,310.89

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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.