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Finding the Fourth Proportional to 11,883.72, 17,819.43 and 5,217.49

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Solution

The fourth proportional to 11,883.72, 17,819.43 and 5,217.49 is: 7,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.72 : 17,819.43 = 5,217.49 : x
  2. Step 2: Convert to fraction form
    11,883.72/17,819.43 = 5,217.49/x
  3. Step 3: Cross multiply
    11,883.72x = 17,819.43 × 5,217.49
  4. Step 4: Simplify right side
    11,883.72x = 92,972,697.83
  5. Step 5: Solve for x
    x = 92,972,697.83/11,883.72
  6. Step 6: Final answer
    x = 7,823.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.