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Finding the Fourth Proportional to 8,381.09, 12,571.67 and 2,537.75

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Solution

The fourth proportional to 8,381.09, 12,571.67 and 2,537.75 is: 3,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.09 : 12,571.67 = 2,537.75 : x
  2. Step 2: Convert to fraction form
    8,381.09/12,571.67 = 2,537.75/x
  3. Step 3: Cross multiply
    8,381.09x = 12,571.67 × 2,537.75
  4. Step 4: Simplify right side
    8,381.09x = 31,903,793.32
  5. Step 5: Solve for x
    x = 31,903,793.32/8,381.09
  6. Step 6: Final answer
    x = 3,806.64

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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.