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Finding the Fourth Proportional to 6,728.44, 10,083.76 and 5,162.46

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Solution

The fourth proportional to 6,728.44, 10,083.76 and 5,162.46 is: 7,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.44 : 10,083.76 = 5,162.46 : x
  2. Step 2: Convert to fraction form
    6,728.44/10,083.76 = 5,162.46/x
  3. Step 3: Cross multiply
    6,728.44x = 10,083.76 × 5,162.46
  4. Step 4: Simplify right side
    6,728.44x = 52,057,007.65
  5. Step 5: Solve for x
    x = 52,057,007.65/6,728.44
  6. Step 6: Final answer
    x = 7,736.86

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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.