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Finding the Fourth Proportional to 7,441.62, 11,163.82 and 6,067.20

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Solution

The fourth proportional to 7,441.62, 11,163.82 and 6,067.20 is: 9,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.62 : 11,163.82 = 6,067.20 : x
  2. Step 2: Convert to fraction form
    7,441.62/11,163.82 = 6,067.20/x
  3. Step 3: Cross multiply
    7,441.62x = 11,163.82 × 6,067.20
  4. Step 4: Simplify right side
    7,441.62x = 67,733,128.70
  5. Step 5: Solve for x
    x = 67,733,128.70/7,441.62
  6. Step 6: Final answer
    x = 9,101.93

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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.