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Finding the Fourth Proportional to 11,842.73, 17,751.78 and 4,819.73

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Solution

The fourth proportional to 11,842.73, 17,751.78 and 4,819.73 is: 7,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.73 : 17,751.78 = 4,819.73 : x
  2. Step 2: Convert to fraction form
    11,842.73/17,751.78 = 4,819.73/x
  3. Step 3: Cross multiply
    11,842.73x = 17,751.78 × 4,819.73
  4. Step 4: Simplify right side
    11,842.73x = 85,558,786.62
  5. Step 5: Solve for x
    x = 85,558,786.62/11,842.73
  6. Step 6: Final answer
    x = 7,224.58

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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.