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Finding the Fourth Proportional to 7,171.59, 10,755.76 and 2,727.66

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Solution

The fourth proportional to 7,171.59, 10,755.76 and 2,727.66 is: 4,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.59 : 10,755.76 = 2,727.66 : x
  2. Step 2: Convert to fraction form
    7,171.59/10,755.76 = 2,727.66/x
  3. Step 3: Cross multiply
    7,171.59x = 10,755.76 × 2,727.66
  4. Step 4: Simplify right side
    7,171.59x = 29,338,056.32
  5. Step 5: Solve for x
    x = 29,338,056.32/7,171.59
  6. Step 6: Final answer
    x = 4,090.87

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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.