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Finding the Fourth Proportional to 8,013.76, 11,996.97 and 5,919.86

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Solution

The fourth proportional to 8,013.76, 11,996.97 and 5,919.86 is: 8,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.76 : 11,996.97 = 5,919.86 : x
  2. Step 2: Convert to fraction form
    8,013.76/11,996.97 = 5,919.86/x
  3. Step 3: Cross multiply
    8,013.76x = 11,996.97 × 5,919.86
  4. Step 4: Simplify right side
    8,013.76x = 71,020,382.82
  5. Step 5: Solve for x
    x = 71,020,382.82/8,013.76
  6. Step 6: Final answer
    x = 8,862.30

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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.