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Finding the Fourth Proportional to 11,249.01, 15,523.38 and 6,144.36

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Solution

The fourth proportional to 11,249.01, 15,523.38 and 6,144.36 is: 8,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.01 : 15,523.38 = 6,144.36 : x
  2. Step 2: Convert to fraction form
    11,249.01/15,523.38 = 6,144.36/x
  3. Step 3: Cross multiply
    11,249.01x = 15,523.38 × 6,144.36
  4. Step 4: Simplify right side
    11,249.01x = 95,381,176.92
  5. Step 5: Solve for x
    x = 95,381,176.92/11,249.01
  6. Step 6: Final answer
    x = 8,479.07

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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.