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Finding the Fourth Proportional to 6,833.26, 10,251.50 and 2,216.26

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Solution

The fourth proportional to 6,833.26, 10,251.50 and 2,216.26 is: 3,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.26 : 10,251.50 = 2,216.26 : x
  2. Step 2: Convert to fraction form
    6,833.26/10,251.50 = 2,216.26/x
  3. Step 3: Cross multiply
    6,833.26x = 10,251.50 × 2,216.26
  4. Step 4: Simplify right side
    6,833.26x = 22,719,989.39
  5. Step 5: Solve for x
    x = 22,719,989.39/6,833.26
  6. Step 6: Final answer
    x = 3,324.91

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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.