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Finding the Fourth Proportional to 7,185.75, 10,771.71 and 2,251.95

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Solution

The fourth proportional to 7,185.75, 10,771.71 and 2,251.95 is: 3,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.75 : 10,771.71 = 2,251.95 : x
  2. Step 2: Convert to fraction form
    7,185.75/10,771.71 = 2,251.95/x
  3. Step 3: Cross multiply
    7,185.75x = 10,771.71 × 2,251.95
  4. Step 4: Simplify right side
    7,185.75x = 24,257,352.33
  5. Step 5: Solve for x
    x = 24,257,352.33/7,185.75
  6. Step 6: Final answer
    x = 3,375.76

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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.