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Finding the Fourth Proportional to 6,833.16, 10,249.92 and 1,902.78

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Solution

The fourth proportional to 6,833.16, 10,249.92 and 1,902.78 is: 2,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.16 : 10,249.92 = 1,902.78 : x
  2. Step 2: Convert to fraction form
    6,833.16/10,249.92 = 1,902.78/x
  3. Step 3: Cross multiply
    6,833.16x = 10,249.92 × 1,902.78
  4. Step 4: Simplify right side
    6,833.16x = 19,503,342.78
  5. Step 5: Solve for x
    x = 19,503,342.78/6,833.16
  6. Step 6: Final answer
    x = 2,854.22

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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.