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Finding the Fourth Proportional to 11,170.54, 16,755.82 and 6,232.78

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Solution

The fourth proportional to 11,170.54, 16,755.82 and 6,232.78 is: 9,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.54 : 16,755.82 = 6,232.78 : x
  2. Step 2: Convert to fraction form
    11,170.54/16,755.82 = 6,232.78/x
  3. Step 3: Cross multiply
    11,170.54x = 16,755.82 × 6,232.78
  4. Step 4: Simplify right side
    11,170.54x = 104,435,339.78
  5. Step 5: Solve for x
    x = 104,435,339.78/11,170.54
  6. Step 6: Final answer
    x = 9,349.18

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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.