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Finding the Fourth Proportional to 11,629.26, 17,426.88 and 5,777.82

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Solution

The fourth proportional to 11,629.26, 17,426.88 and 5,777.82 is: 8,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.26 : 17,426.88 = 5,777.82 : x
  2. Step 2: Convert to fraction form
    11,629.26/17,426.88 = 5,777.82/x
  3. Step 3: Cross multiply
    11,629.26x = 17,426.88 × 5,777.82
  4. Step 4: Simplify right side
    11,629.26x = 100,689,375.80
  5. Step 5: Solve for x
    x = 100,689,375.80/11,629.26
  6. Step 6: Final answer
    x = 8,658.28

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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.