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Finding the Fourth Proportional to 7,766.38, 10,717.74 and 4,229.60

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Solution

The fourth proportional to 7,766.38, 10,717.74 and 4,229.60 is: 5,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.38 : 10,717.74 = 4,229.60 : x
  2. Step 2: Convert to fraction form
    7,766.38/10,717.74 = 4,229.60/x
  3. Step 3: Cross multiply
    7,766.38x = 10,717.74 × 4,229.60
  4. Step 4: Simplify right side
    7,766.38x = 45,331,753.10
  5. Step 5: Solve for x
    x = 45,331,753.10/7,766.38
  6. Step 6: Final answer
    x = 5,836.92

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Why These Related Problems?

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