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Finding the Fourth Proportional to 10,229.22, 15,344.10 and 7,648.56

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Solution

The fourth proportional to 10,229.22, 15,344.10 and 7,648.56 is: 11,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.22 : 15,344.10 = 7,648.56 : x
  2. Step 2: Convert to fraction form
    10,229.22/15,344.10 = 7,648.56/x
  3. Step 3: Cross multiply
    10,229.22x = 15,344.10 × 7,648.56
  4. Step 4: Simplify right side
    10,229.22x = 117,360,269.50
  5. Step 5: Solve for x
    x = 117,360,269.50/10,229.22
  6. Step 6: Final answer
    x = 11,473.04

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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.