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Finding the Fourth Proportional to 6,832.71, 10,249.02 and 1,902.38

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Solution

The fourth proportional to 6,832.71, 10,249.02 and 1,902.38 is: 2,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.71 : 10,249.02 = 1,902.38 : x
  2. Step 2: Convert to fraction form
    6,832.71/10,249.02 = 1,902.38/x
  3. Step 3: Cross multiply
    6,832.71x = 10,249.02 × 1,902.38
  4. Step 4: Simplify right side
    6,832.71x = 19,497,479.42
  5. Step 5: Solve for x
    x = 19,497,479.42/6,832.71
  6. Step 6: Final answer
    x = 2,853.55

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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.