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Finding the Fourth Proportional to 11,595.50, 17,375.36 and 7,832.54

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Solution

The fourth proportional to 11,595.50, 17,375.36 and 7,832.54 is: 11,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.50 : 17,375.36 = 7,832.54 : x
  2. Step 2: Convert to fraction form
    11,595.50/17,375.36 = 7,832.54/x
  3. Step 3: Cross multiply
    11,595.50x = 17,375.36 × 7,832.54
  4. Step 4: Simplify right side
    11,595.50x = 136,093,202.21
  5. Step 5: Solve for x
    x = 136,093,202.21/11,595.50
  6. Step 6: Final answer
    x = 11,736.73

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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.