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Finding the Fourth Proportional to 7,180.10, 10,770.14 and 2,250.12

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Solution

The fourth proportional to 7,180.10, 10,770.14 and 2,250.12 is: 3,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.10 : 10,770.14 = 2,250.12 : x
  2. Step 2: Convert to fraction form
    7,180.10/10,770.14 = 2,250.12/x
  3. Step 3: Cross multiply
    7,180.10x = 10,770.14 × 2,250.12
  4. Step 4: Simplify right side
    7,180.10x = 24,234,113.04
  5. Step 5: Solve for x
    x = 24,234,113.04/7,180.10
  6. Step 6: Final answer
    x = 3,375.18

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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.