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Finding the Fourth Proportional to 7,149.75, 10,727.00 and 2,767.25

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Solution

The fourth proportional to 7,149.75, 10,727.00 and 2,767.25 is: 4,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.75 : 10,727.00 = 2,767.25 : x
  2. Step 2: Convert to fraction form
    7,149.75/10,727.00 = 2,767.25/x
  3. Step 3: Cross multiply
    7,149.75x = 10,727.00 × 2,767.25
  4. Step 4: Simplify right side
    7,149.75x = 29,684,223.28
  5. Step 5: Solve for x
    x = 29,684,223.28/7,149.75
  6. Step 6: Final answer
    x = 4,151.78

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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.