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Finding the Fourth Proportional to 10,079.75, 13,910.22 and 5,542.62

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Solution

The fourth proportional to 10,079.75, 13,910.22 and 5,542.62 is: 7,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.75 : 13,910.22 = 5,542.62 : x
  2. Step 2: Convert to fraction form
    10,079.75/13,910.22 = 5,542.62/x
  3. Step 3: Cross multiply
    10,079.75x = 13,910.22 × 5,542.62
  4. Step 4: Simplify right side
    10,079.75x = 77,099,063.58
  5. Step 5: Solve for x
    x = 77,099,063.58/10,079.75
  6. Step 6: Final answer
    x = 7,648.91

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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.