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Finding the Fourth Proportional to 11,762.43, 17,648.22 and 5,183.97

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Solution

The fourth proportional to 11,762.43, 17,648.22 and 5,183.97 is: 7,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.43 : 17,648.22 = 5,183.97 : x
  2. Step 2: Convert to fraction form
    11,762.43/17,648.22 = 5,183.97/x
  3. Step 3: Cross multiply
    11,762.43x = 17,648.22 × 5,183.97
  4. Step 4: Simplify right side
    11,762.43x = 91,487,843.03
  5. Step 5: Solve for x
    x = 91,487,843.03/11,762.43
  6. Step 6: Final answer
    x = 7,777.97

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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.