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Finding the Fourth Proportional to 11,851.92, 17,773.05 and 4,452.33

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Solution

The fourth proportional to 11,851.92, 17,773.05 and 4,452.33 is: 6,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.92 : 17,773.05 = 4,452.33 : x
  2. Step 2: Convert to fraction form
    11,851.92/17,773.05 = 4,452.33/x
  3. Step 3: Cross multiply
    11,851.92x = 17,773.05 × 4,452.33
  4. Step 4: Simplify right side
    11,851.92x = 79,131,567.05
  5. Step 5: Solve for x
    x = 79,131,567.05/11,851.92
  6. Step 6: Final answer
    x = 6,676.69

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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.