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Finding the Fourth Proportional to 6,833.28, 10,249.92 and 3,913.44

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Solution

The fourth proportional to 6,833.28, 10,249.92 and 3,913.44 is: 5,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.28 : 10,249.92 = 3,913.44 : x
  2. Step 2: Convert to fraction form
    6,833.28/10,249.92 = 3,913.44/x
  3. Step 3: Cross multiply
    6,833.28x = 10,249.92 × 3,913.44
  4. Step 4: Simplify right side
    6,833.28x = 40,112,446.92
  5. Step 5: Solve for x
    x = 40,112,446.92/6,833.28
  6. Step 6: Final answer
    x = 5,870.16

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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.