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Finding the Fourth Proportional to 7,211.61, 9,952.02 and 4,067.80

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Solution

The fourth proportional to 7,211.61, 9,952.02 and 4,067.80 is: 5,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.61 : 9,952.02 = 4,067.80 : x
  2. Step 2: Convert to fraction form
    7,211.61/9,952.02 = 4,067.80/x
  3. Step 3: Cross multiply
    7,211.61x = 9,952.02 × 4,067.80
  4. Step 4: Simplify right side
    7,211.61x = 40,482,826.96
  5. Step 5: Solve for x
    x = 40,482,826.96/7,211.61
  6. Step 6: Final answer
    x = 5,613.56

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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.