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Finding the Fourth Proportional to 7,920.22, 11,874.54 and 5,149.66

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Solution

The fourth proportional to 7,920.22, 11,874.54 and 5,149.66 is: 7,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.22 : 11,874.54 = 5,149.66 : x
  2. Step 2: Convert to fraction form
    7,920.22/11,874.54 = 5,149.66/x
  3. Step 3: Cross multiply
    7,920.22x = 11,874.54 × 5,149.66
  4. Step 4: Simplify right side
    7,920.22x = 61,149,843.66
  5. Step 5: Solve for x
    x = 61,149,843.66/7,920.22
  6. Step 6: Final answer
    x = 7,720.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.