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Finding the Fourth Proportional to 11,729.78, 17,595.20 and 3,832.78

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Solution

The fourth proportional to 11,729.78, 17,595.20 and 3,832.78 is: 5,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.78 : 17,595.20 = 3,832.78 : x
  2. Step 2: Convert to fraction form
    11,729.78/17,595.20 = 3,832.78/x
  3. Step 3: Cross multiply
    11,729.78x = 17,595.20 × 3,832.78
  4. Step 4: Simplify right side
    11,729.78x = 67,438,507.68
  5. Step 5: Solve for x
    x = 67,438,507.68/11,729.78
  6. Step 6: Final answer
    x = 5,749.34

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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.