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Finding the Fourth Proportional to 7,180.56, 10,772.64 and 2,250.24

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Solution

The fourth proportional to 7,180.56, 10,772.64 and 2,250.24 is: 3,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.56 : 10,772.64 = 2,250.24 : x
  2. Step 2: Convert to fraction form
    7,180.56/10,772.64 = 2,250.24/x
  3. Step 3: Cross multiply
    7,180.56x = 10,772.64 × 2,250.24
  4. Step 4: Simplify right side
    7,180.56x = 24,241,025.43
  5. Step 5: Solve for x
    x = 24,241,025.43/7,180.56
  6. Step 6: Final answer
    x = 3,375.92

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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.