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Finding the Fourth Proportional to 11,842.23, 17,751.03 and 4,819.23

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Solution

The fourth proportional to 11,842.23, 17,751.03 and 4,819.23 is: 7,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.23 : 17,751.03 = 4,819.23 : x
  2. Step 2: Convert to fraction form
    11,842.23/17,751.03 = 4,819.23/x
  3. Step 3: Cross multiply
    11,842.23x = 17,751.03 × 4,819.23
  4. Step 4: Simplify right side
    11,842.23x = 85,546,296.31
  5. Step 5: Solve for x
    x = 85,546,296.31/11,842.23
  6. Step 6: Final answer
    x = 7,223.83

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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.