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Finding the Fourth Proportional to 8,092.38, 11,170.94 and 5,441.33

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Solution

The fourth proportional to 8,092.38, 11,170.94 and 5,441.33 is: 7,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.38 : 11,170.94 = 5,441.33 : x
  2. Step 2: Convert to fraction form
    8,092.38/11,170.94 = 5,441.33/x
  3. Step 3: Cross multiply
    8,092.38x = 11,170.94 × 5,441.33
  4. Step 4: Simplify right side
    8,092.38x = 60,784,715.10
  5. Step 5: Solve for x
    x = 60,784,715.10/8,092.38
  6. Step 6: Final answer
    x = 7,511.35

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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.