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Finding the Fourth Proportional to 10,976.82, 15,147.87 and 5,940.92

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Solution

The fourth proportional to 10,976.82, 15,147.87 and 5,940.92 is: 8,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.82 : 15,147.87 = 5,940.92 : x
  2. Step 2: Convert to fraction form
    10,976.82/15,147.87 = 5,940.92/x
  3. Step 3: Cross multiply
    10,976.82x = 15,147.87 × 5,940.92
  4. Step 4: Simplify right side
    10,976.82x = 89,992,222.95
  5. Step 5: Solve for x
    x = 89,992,222.95/10,976.82
  6. Step 6: Final answer
    x = 8,198.39

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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.