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Finding the Fourth Proportional to 6,833.57, 10,247.45 and 2,152.44

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Solution

The fourth proportional to 6,833.57, 10,247.45 and 2,152.44 is: 3,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.57 : 10,247.45 = 2,152.44 : x
  2. Step 2: Convert to fraction form
    6,833.57/10,247.45 = 2,152.44/x
  3. Step 3: Cross multiply
    6,833.57x = 10,247.45 × 2,152.44
  4. Step 4: Simplify right side
    6,833.57x = 22,057,010.52
  5. Step 5: Solve for x
    x = 22,057,010.52/6,833.57
  6. Step 6: Final answer
    x = 3,227.75

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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.