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Finding the Fourth Proportional to 10,481.48, 15,722.94 and 3,553.64

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Solution

The fourth proportional to 10,481.48, 15,722.94 and 3,553.64 is: 5,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.48 : 15,722.94 = 3,553.64 : x
  2. Step 2: Convert to fraction form
    10,481.48/15,722.94 = 3,553.64/x
  3. Step 3: Cross multiply
    10,481.48x = 15,722.94 × 3,553.64
  4. Step 4: Simplify right side
    10,481.48x = 55,873,668.50
  5. Step 5: Solve for x
    x = 55,873,668.50/10,481.48
  6. Step 6: Final answer
    x = 5,330.70

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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.