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Finding the Fourth Proportional to 10,481.66, 15,723.48 and 3,906.28

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Solution

The fourth proportional to 10,481.66, 15,723.48 and 3,906.28 is: 5,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.66 : 15,723.48 = 3,906.28 : x
  2. Step 2: Convert to fraction form
    10,481.66/15,723.48 = 3,906.28/x
  3. Step 3: Cross multiply
    10,481.66x = 15,723.48 × 3,906.28
  4. Step 4: Simplify right side
    10,481.66x = 61,420,315.45
  5. Step 5: Solve for x
    x = 61,420,315.45/10,481.66
  6. Step 6: Final answer
    x = 5,859.79

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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.