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Finding the Fourth Proportional to 6,836.26, 10,256 and 2,219.26

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Solution

The fourth proportional to 6,836.26, 10,256 and 2,219.26 is: 3,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.26 : 10,256 = 2,219.26 : x
  2. Step 2: Convert to fraction form
    6,836.26/10,256 = 2,219.26/x
  3. Step 3: Cross multiply
    6,836.26x = 10,256 × 2,219.26
  4. Step 4: Simplify right side
    6,836.26x = 22,760,730.56
  5. Step 5: Solve for x
    x = 22,760,730.56/6,836.26
  6. Step 6: Final answer
    x = 3,329.41

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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.