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Finding the Fourth Proportional to 7,086.32, 9,778.50 and 3,942.68

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Solution

The fourth proportional to 7,086.32, 9,778.50 and 3,942.68 is: 5,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.32 : 9,778.50 = 3,942.68 : x
  2. Step 2: Convert to fraction form
    7,086.32/9,778.50 = 3,942.68/x
  3. Step 3: Cross multiply
    7,086.32x = 9,778.50 × 3,942.68
  4. Step 4: Simplify right side
    7,086.32x = 38,553,496.38
  5. Step 5: Solve for x
    x = 38,553,496.38/7,086.32
  6. Step 6: Final answer
    x = 5,440.55

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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.