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Finding the Fourth Proportional to 7,144.20, 10,704.42 and 6,874.38

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Solution

The fourth proportional to 7,144.20, 10,704.42 and 6,874.38 is: 10,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.20 : 10,704.42 = 6,874.38 : x
  2. Step 2: Convert to fraction form
    7,144.20/10,704.42 = 6,874.38/x
  3. Step 3: Cross multiply
    7,144.20x = 10,704.42 × 6,874.38
  4. Step 4: Simplify right side
    7,144.20x = 73,586,250.76
  5. Step 5: Solve for x
    x = 73,586,250.76/7,144.20
  6. Step 6: Final answer
    x = 10,300.14

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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.