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Finding the Fourth Proportional to 7,766.46, 10,717.72 and 4,229.68

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Solution

The fourth proportional to 7,766.46, 10,717.72 and 4,229.68 is: 5,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.46 : 10,717.72 = 4,229.68 : x
  2. Step 2: Convert to fraction form
    7,766.46/10,717.72 = 4,229.68/x
  3. Step 3: Cross multiply
    7,766.46x = 10,717.72 × 4,229.68
  4. Step 4: Simplify right side
    7,766.46x = 45,332,525.93
  5. Step 5: Solve for x
    x = 45,332,525.93/7,766.46
  6. Step 6: Final answer
    x = 5,836.96

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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.