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Finding the Fourth Proportional to 7,766.42, 10,717.38 and 4,229.55

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Solution

The fourth proportional to 7,766.42, 10,717.38 and 4,229.55 is: 5,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.42 : 10,717.38 = 4,229.55 : x
  2. Step 2: Convert to fraction form
    7,766.42/10,717.38 = 4,229.55/x
  3. Step 3: Cross multiply
    7,766.42x = 10,717.38 × 4,229.55
  4. Step 4: Simplify right side
    7,766.42x = 45,329,694.58
  5. Step 5: Solve for x
    x = 45,329,694.58/7,766.42
  6. Step 6: Final answer
    x = 5,836.63

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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.