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Finding the Fourth Proportional to 11,414.97, 17,091.66 and 7,456.41

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Solution

The fourth proportional to 11,414.97, 17,091.66 and 7,456.41 is: 11,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.97 : 17,091.66 = 7,456.41 : x
  2. Step 2: Convert to fraction form
    11,414.97/17,091.66 = 7,456.41/x
  3. Step 3: Cross multiply
    11,414.97x = 17,091.66 × 7,456.41
  4. Step 4: Simplify right side
    11,414.97x = 127,442,424.54
  5. Step 5: Solve for x
    x = 127,442,424.54/11,414.97
  6. Step 6: Final answer
    x = 11,164.50

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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.