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Finding the Fourth Proportional to 11,224.72, 15,489.39 and 6,188.98

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Solution

The fourth proportional to 11,224.72, 15,489.39 and 6,188.98 is: 8,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.72 : 15,489.39 = 6,188.98 : x
  2. Step 2: Convert to fraction form
    11,224.72/15,489.39 = 6,188.98/x
  3. Step 3: Cross multiply
    11,224.72x = 15,489.39 × 6,188.98
  4. Step 4: Simplify right side
    11,224.72x = 95,863,524.92
  5. Step 5: Solve for x
    x = 95,863,524.92/11,224.72
  6. Step 6: Final answer
    x = 8,540.39

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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.