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Finding the Fourth Proportional to 8,221.48, 12,327.90 and 3,838.12

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Solution

The fourth proportional to 8,221.48, 12,327.90 and 3,838.12 is: 5,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.48 : 12,327.90 = 3,838.12 : x
  2. Step 2: Convert to fraction form
    8,221.48/12,327.90 = 3,838.12/x
  3. Step 3: Cross multiply
    8,221.48x = 12,327.90 × 3,838.12
  4. Step 4: Simplify right side
    8,221.48x = 47,315,959.55
  5. Step 5: Solve for x
    x = 47,315,959.55/8,221.48
  6. Step 6: Final answer
    x = 5,755.16

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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.