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Finding the Fourth Proportional to 11,200.86, 16,755.09 and 9,204

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Solution

The fourth proportional to 11,200.86, 16,755.09 and 9,204 is: 13,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.86 : 16,755.09 = 9,204 : x
  2. Step 2: Convert to fraction form
    11,200.86/16,755.09 = 9,204/x
  3. Step 3: Cross multiply
    11,200.86x = 16,755.09 × 9,204
  4. Step 4: Simplify right side
    11,200.86x = 154,213,848.36
  5. Step 5: Solve for x
    x = 154,213,848.36/11,200.86
  6. Step 6: Final answer
    x = 13,768.04

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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.