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Finding the Fourth Proportional to 8,107.57, 11,188.44 and 4,381.57

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Solution

The fourth proportional to 8,107.57, 11,188.44 and 4,381.57 is: 6,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.57 : 11,188.44 = 4,381.57 : x
  2. Step 2: Convert to fraction form
    8,107.57/11,188.44 = 4,381.57/x
  3. Step 3: Cross multiply
    8,107.57x = 11,188.44 × 4,381.57
  4. Step 4: Simplify right side
    8,107.57x = 49,022,933.05
  5. Step 5: Solve for x
    x = 49,022,933.05/8,107.57
  6. Step 6: Final answer
    x = 6,046.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.