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Finding the Fourth Proportional to 7,691.57, 11,537.67 and 3,991.41

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Solution

The fourth proportional to 7,691.57, 11,537.67 and 3,991.41 is: 5,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.57 : 11,537.67 = 3,991.41 : x
  2. Step 2: Convert to fraction form
    7,691.57/11,537.67 = 3,991.41/x
  3. Step 3: Cross multiply
    7,691.57x = 11,537.67 × 3,991.41
  4. Step 4: Simplify right side
    7,691.57x = 46,051,571.41
  5. Step 5: Solve for x
    x = 46,051,571.41/7,691.57
  6. Step 6: Final answer
    x = 5,987.28

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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.