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Finding the Fourth Proportional to 7,171.74, 10,755.99 and 2,727.83

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Solution

The fourth proportional to 7,171.74, 10,755.99 and 2,727.83 is: 4,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.74 : 10,755.99 = 2,727.83 : x
  2. Step 2: Convert to fraction form
    7,171.74/10,755.99 = 2,727.83/x
  3. Step 3: Cross multiply
    7,171.74x = 10,755.99 × 2,727.83
  4. Step 4: Simplify right side
    7,171.74x = 29,340,444.78
  5. Step 5: Solve for x
    x = 29,340,444.78/7,171.74
  6. Step 6: Final answer
    x = 4,091.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.