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Finding the Fourth Proportional to 7,687.85, 11,537.96 and 3,991.14

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Solution

The fourth proportional to 7,687.85, 11,537.96 and 3,991.14 is: 5,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.85 : 11,537.96 = 3,991.14 : x
  2. Step 2: Convert to fraction form
    7,687.85/11,537.96 = 3,991.14/x
  3. Step 3: Cross multiply
    7,687.85x = 11,537.96 × 3,991.14
  4. Step 4: Simplify right side
    7,687.85x = 46,049,593.72
  5. Step 5: Solve for x
    x = 46,049,593.72/7,687.85
  6. Step 6: Final answer
    x = 5,989.92

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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.