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Finding the Fourth Proportional to 7,906.62, 11,867.19 and 4,013.82

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Solution

The fourth proportional to 7,906.62, 11,867.19 and 4,013.82 is: 6,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.62 : 11,867.19 = 4,013.82 : x
  2. Step 2: Convert to fraction form
    7,906.62/11,867.19 = 4,013.82/x
  3. Step 3: Cross multiply
    7,906.62x = 11,867.19 × 4,013.82
  4. Step 4: Simplify right side
    7,906.62x = 47,632,764.57
  5. Step 5: Solve for x
    x = 47,632,764.57/7,906.62
  6. Step 6: Final answer
    x = 6,024.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.