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Finding the Fourth Proportional to 8,142.92, 12,220.86 and 3,213.80

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Solution

The fourth proportional to 8,142.92, 12,220.86 and 3,213.80 is: 4,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.92 : 12,220.86 = 3,213.80 : x
  2. Step 2: Convert to fraction form
    8,142.92/12,220.86 = 3,213.80/x
  3. Step 3: Cross multiply
    8,142.92x = 12,220.86 × 3,213.80
  4. Step 4: Simplify right side
    8,142.92x = 39,275,399.87
  5. Step 5: Solve for x
    x = 39,275,399.87/8,142.92
  6. Step 6: Final answer
    x = 4,823.26

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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.