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Finding the Fourth Proportional to 11,782.92, 17,673.24 and 3,991.32

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Solution

The fourth proportional to 11,782.92, 17,673.24 and 3,991.32 is: 5,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.92 : 17,673.24 = 3,991.32 : x
  2. Step 2: Convert to fraction form
    11,782.92/17,673.24 = 3,991.32/x
  3. Step 3: Cross multiply
    11,782.92x = 17,673.24 × 3,991.32
  4. Step 4: Simplify right side
    11,782.92x = 70,539,556.28
  5. Step 5: Solve for x
    x = 70,539,556.28/11,782.92
  6. Step 6: Final answer
    x = 5,986.59

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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.