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Finding the Fourth Proportional to 6,717.44, 10,069.76 and 3,249.92

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Solution

The fourth proportional to 6,717.44, 10,069.76 and 3,249.92 is: 4,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.44 : 10,069.76 = 3,249.92 : x
  2. Step 2: Convert to fraction form
    6,717.44/10,069.76 = 3,249.92/x
  3. Step 3: Cross multiply
    6,717.44x = 10,069.76 × 3,249.92
  4. Step 4: Simplify right side
    6,717.44x = 32,725,914.42
  5. Step 5: Solve for x
    x = 32,725,914.42/6,717.44
  6. Step 6: Final answer
    x = 4,871.78

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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.