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Finding the Fourth Proportional to 11,249.46, 15,523.38 and 6,534.09

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Solution

The fourth proportional to 11,249.46, 15,523.38 and 6,534.09 is: 9,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.46 : 15,523.38 = 6,534.09 : x
  2. Step 2: Convert to fraction form
    11,249.46/15,523.38 = 6,534.09/x
  3. Step 3: Cross multiply
    11,249.46x = 15,523.38 × 6,534.09
  4. Step 4: Simplify right side
    11,249.46x = 101,431,162.02
  5. Step 5: Solve for x
    x = 101,431,162.02/11,249.46
  6. Step 6: Final answer
    x = 9,016.54

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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.