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Finding the Fourth Proportional to 7,185.20, 10,777.80 and 2,255.22

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Solution

The fourth proportional to 7,185.20, 10,777.80 and 2,255.22 is: 3,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.20 : 10,777.80 = 2,255.22 : x
  2. Step 2: Convert to fraction form
    7,185.20/10,777.80 = 2,255.22/x
  3. Step 3: Cross multiply
    7,185.20x = 10,777.80 × 2,255.22
  4. Step 4: Simplify right side
    7,185.20x = 24,306,310.12
  5. Step 5: Solve for x
    x = 24,306,310.12/7,185.20
  6. Step 6: Final answer
    x = 3,382.83

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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.