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Finding the Fourth Proportional to 11,782.28, 17,672.96 and 3,991.10

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Solution

The fourth proportional to 11,782.28, 17,672.96 and 3,991.10 is: 5,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.28 : 17,672.96 = 3,991.10 : x
  2. Step 2: Convert to fraction form
    11,782.28/17,672.96 = 3,991.10/x
  3. Step 3: Cross multiply
    11,782.28x = 17,672.96 × 3,991.10
  4. Step 4: Simplify right side
    11,782.28x = 70,534,472.27
  5. Step 5: Solve for x
    x = 70,534,472.27/11,782.28
  6. Step 6: Final answer
    x = 5,986.49

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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.