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Finding the Fourth Proportional to 7,211.57, 9,952.31 and 4,067.69

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Solution

The fourth proportional to 7,211.57, 9,952.31 and 4,067.69 is: 5,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.57 : 9,952.31 = 4,067.69 : x
  2. Step 2: Convert to fraction form
    7,211.57/9,952.31 = 4,067.69/x
  3. Step 3: Cross multiply
    7,211.57x = 9,952.31 × 4,067.69
  4. Step 4: Simplify right side
    7,211.57x = 40,482,911.86
  5. Step 5: Solve for x
    x = 40,482,911.86/7,211.57
  6. Step 6: Final answer
    x = 5,613.61

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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.