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Finding the Fourth Proportional to 8,227.20, 12,331.20 and 3,294.40

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Solution

The fourth proportional to 8,227.20, 12,331.20 and 3,294.40 is: 4,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.20 : 12,331.20 = 3,294.40 : x
  2. Step 2: Convert to fraction form
    8,227.20/12,331.20 = 3,294.40/x
  3. Step 3: Cross multiply
    8,227.20x = 12,331.20 × 3,294.40
  4. Step 4: Simplify right side
    8,227.20x = 40,623,905.28
  5. Step 5: Solve for x
    x = 40,623,905.28/8,227.20
  6. Step 6: Final answer
    x = 4,937.76

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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.