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Finding the Fourth Proportional to 7,151.67, 10,728.93 and 2,471.85

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Solution

The fourth proportional to 7,151.67, 10,728.93 and 2,471.85 is: 3,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.67 : 10,728.93 = 2,471.85 : x
  2. Step 2: Convert to fraction form
    7,151.67/10,728.93 = 2,471.85/x
  3. Step 3: Cross multiply
    7,151.67x = 10,728.93 × 2,471.85
  4. Step 4: Simplify right side
    7,151.67x = 26,520,305.62
  5. Step 5: Solve for x
    x = 26,520,305.62/7,151.67
  6. Step 6: Final answer
    x = 3,708.27

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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.