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Finding the Fourth Proportional to 7,147.62, 10,728.36 and 3,452.49

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Solution

The fourth proportional to 7,147.62, 10,728.36 and 3,452.49 is: 5,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.62 : 10,728.36 = 3,452.49 : x
  2. Step 2: Convert to fraction form
    7,147.62/10,728.36 = 3,452.49/x
  3. Step 3: Cross multiply
    7,147.62x = 10,728.36 × 3,452.49
  4. Step 4: Simplify right side
    7,147.62x = 37,039,555.62
  5. Step 5: Solve for x
    x = 37,039,555.62/7,147.62
  6. Step 6: Final answer
    x = 5,182.08

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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.