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Finding the Fourth Proportional to 7,232.91, 10,850.17 and 2,301.41

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Solution

The fourth proportional to 7,232.91, 10,850.17 and 2,301.41 is: 3,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.91 : 10,850.17 = 2,301.41 : x
  2. Step 2: Convert to fraction form
    7,232.91/10,850.17 = 2,301.41/x
  3. Step 3: Cross multiply
    7,232.91x = 10,850.17 × 2,301.41
  4. Step 4: Simplify right side
    7,232.91x = 24,970,629.74
  5. Step 5: Solve for x
    x = 24,970,629.74/7,232.91
  6. Step 6: Final answer
    x = 3,452.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.