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Finding the Fourth Proportional to 8,224.79, 12,331.76 and 2,957.16

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Solution

The fourth proportional to 8,224.79, 12,331.76 and 2,957.16 is: 4,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.79 : 12,331.76 = 2,957.16 : x
  2. Step 2: Convert to fraction form
    8,224.79/12,331.76 = 2,957.16/x
  3. Step 3: Cross multiply
    8,224.79x = 12,331.76 × 2,957.16
  4. Step 4: Simplify right side
    8,224.79x = 36,466,972.62
  5. Step 5: Solve for x
    x = 36,466,972.62/8,224.79
  6. Step 6: Final answer
    x = 4,433.79

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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.