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Finding the Fourth Proportional to 6,879.76, 10,323.24 and 3,762

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Solution

The fourth proportional to 6,879.76, 10,323.24 and 3,762 is: 5,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.76 : 10,323.24 = 3,762 : x
  2. Step 2: Convert to fraction form
    6,879.76/10,323.24 = 3,762/x
  3. Step 3: Cross multiply
    6,879.76x = 10,323.24 × 3,762
  4. Step 4: Simplify right side
    6,879.76x = 38,836,028.88
  5. Step 5: Solve for x
    x = 38,836,028.88/6,879.76
  6. Step 6: Final answer
    x = 5,644.97

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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.