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Finding the Fourth Proportional to 8,233.20, 12,331.56 and 6,775.20

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Solution

The fourth proportional to 8,233.20, 12,331.56 and 6,775.20 is: 10,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.20 : 12,331.56 = 6,775.20 : x
  2. Step 2: Convert to fraction form
    8,233.20/12,331.56 = 6,775.20/x
  3. Step 3: Cross multiply
    8,233.20x = 12,331.56 × 6,775.20
  4. Step 4: Simplify right side
    8,233.20x = 83,548,785.31
  5. Step 5: Solve for x
    x = 83,548,785.31/8,233.20
  6. Step 6: Final answer
    x = 10,147.79

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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.