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Finding the Fourth Proportional to 10,503.50, 15,754.38 and 3,481.22

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Solution

The fourth proportional to 10,503.50, 15,754.38 and 3,481.22 is: 5,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.50 : 15,754.38 = 3,481.22 : x
  2. Step 2: Convert to fraction form
    10,503.50/15,754.38 = 3,481.22/x
  3. Step 3: Cross multiply
    10,503.50x = 15,754.38 × 3,481.22
  4. Step 4: Simplify right side
    10,503.50x = 54,844,462.74
  5. Step 5: Solve for x
    x = 54,844,462.74/10,503.50
  6. Step 6: Final answer
    x = 5,221.54

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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.