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Finding the Fourth Proportional to 11,796.72, 16,273.35 and 9,561.12

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Solution

The fourth proportional to 11,796.72, 16,273.35 and 9,561.12 is: 13,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.72 : 16,273.35 = 9,561.12 : x
  2. Step 2: Convert to fraction form
    11,796.72/16,273.35 = 9,561.12/x
  3. Step 3: Cross multiply
    11,796.72x = 16,273.35 × 9,561.12
  4. Step 4: Simplify right side
    11,796.72x = 155,591,452.15
  5. Step 5: Solve for x
    x = 155,591,452.15/11,796.72
  6. Step 6: Final answer
    x = 13,189.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.