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Finding the Fourth Proportional to 7,902.76, 10,902.42 and 5,546.44

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Solution

The fourth proportional to 7,902.76, 10,902.42 and 5,546.44 is: 7,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.76 : 10,902.42 = 5,546.44 : x
  2. Step 2: Convert to fraction form
    7,902.76/10,902.42 = 5,546.44/x
  3. Step 3: Cross multiply
    7,902.76x = 10,902.42 × 5,546.44
  4. Step 4: Simplify right side
    7,902.76x = 60,469,618.38
  5. Step 5: Solve for x
    x = 60,469,618.38/7,902.76
  6. Step 6: Final answer
    x = 7,651.71

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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.