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Finding the Fourth Proportional to 8,229.54, 11,353.53 and 4,871.13

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Solution

The fourth proportional to 8,229.54, 11,353.53 and 4,871.13 is: 6,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.54 : 11,353.53 = 4,871.13 : x
  2. Step 2: Convert to fraction form
    8,229.54/11,353.53 = 4,871.13/x
  3. Step 3: Cross multiply
    8,229.54x = 11,353.53 × 4,871.13
  4. Step 4: Simplify right side
    8,229.54x = 55,304,520.59
  5. Step 5: Solve for x
    x = 55,304,520.59/8,229.54
  6. Step 6: Final answer
    x = 6,720.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.