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Finding the Fourth Proportional to 6,728.87, 10,093.82 and 2,049.27

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Solution

The fourth proportional to 6,728.87, 10,093.82 and 2,049.27 is: 3,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.87 : 10,093.82 = 2,049.27 : x
  2. Step 2: Convert to fraction form
    6,728.87/10,093.82 = 2,049.27/x
  3. Step 3: Cross multiply
    6,728.87x = 10,093.82 × 2,049.27
  4. Step 4: Simplify right side
    6,728.87x = 20,684,990.12
  5. Step 5: Solve for x
    x = 20,684,990.12/6,728.87
  6. Step 6: Final answer
    x = 3,074.07

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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.