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Finding the Fourth Proportional to 8,224.48, 12,337.56 and 3,843.24

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Solution

The fourth proportional to 8,224.48, 12,337.56 and 3,843.24 is: 5,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.48 : 12,337.56 = 3,843.24 : x
  2. Step 2: Convert to fraction form
    8,224.48/12,337.56 = 3,843.24/x
  3. Step 3: Cross multiply
    8,224.48x = 12,337.56 × 3,843.24
  4. Step 4: Simplify right side
    8,224.48x = 47,416,204.09
  5. Step 5: Solve for x
    x = 47,416,204.09/8,224.48
  6. Step 6: Final answer
    x = 5,765.25

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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.