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Finding the Fourth Proportional to 6,923.88, 10,380.86 and 3,224.09

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Solution

The fourth proportional to 6,923.88, 10,380.86 and 3,224.09 is: 4,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.88 : 10,380.86 = 3,224.09 : x
  2. Step 2: Convert to fraction form
    6,923.88/10,380.86 = 3,224.09/x
  3. Step 3: Cross multiply
    6,923.88x = 10,380.86 × 3,224.09
  4. Step 4: Simplify right side
    6,923.88x = 33,468,826.92
  5. Step 5: Solve for x
    x = 33,468,826.92/6,923.88
  6. Step 6: Final answer
    x = 4,833.83

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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.