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Finding the Fourth Proportional to 10,976.33, 15,147.22 and 5,940.44

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Solution

The fourth proportional to 10,976.33, 15,147.22 and 5,940.44 is: 8,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.33 : 15,147.22 = 5,940.44 : x
  2. Step 2: Convert to fraction form
    10,976.33/15,147.22 = 5,940.44/x
  3. Step 3: Cross multiply
    10,976.33x = 15,147.22 × 5,940.44
  4. Step 4: Simplify right side
    10,976.33x = 89,981,151.58
  5. Step 5: Solve for x
    x = 89,981,151.58/10,976.33
  6. Step 6: Final answer
    x = 8,197.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.