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Finding the Fourth Proportional to 6,838.92, 10,249.02 and 3,714.84

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Solution

The fourth proportional to 6,838.92, 10,249.02 and 3,714.84 is: 5,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.92 : 10,249.02 = 3,714.84 : x
  2. Step 2: Convert to fraction form
    6,838.92/10,249.02 = 3,714.84/x
  3. Step 3: Cross multiply
    6,838.92x = 10,249.02 × 3,714.84
  4. Step 4: Simplify right side
    6,838.92x = 38,073,469.46
  5. Step 5: Solve for x
    x = 38,073,469.46/6,838.92
  6. Step 6: Final answer
    x = 5,567.18

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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.