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Finding the Fourth Proportional to 6,834.26, 10,253 and 2,217.26

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Solution

The fourth proportional to 6,834.26, 10,253 and 2,217.26 is: 3,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.26 : 10,253 = 2,217.26 : x
  2. Step 2: Convert to fraction form
    6,834.26/10,253 = 2,217.26/x
  3. Step 3: Cross multiply
    6,834.26x = 10,253 × 2,217.26
  4. Step 4: Simplify right side
    6,834.26x = 22,733,566.78
  5. Step 5: Solve for x
    x = 22,733,566.78/6,834.26
  6. Step 6: Final answer
    x = 3,326.41

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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.