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Finding the Fourth Proportional to 8,381.15, 12,571.62 and 2,537.76

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Solution

The fourth proportional to 8,381.15, 12,571.62 and 2,537.76 is: 3,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.15 : 12,571.62 = 2,537.76 : x
  2. Step 2: Convert to fraction form
    8,381.15/12,571.62 = 2,537.76/x
  3. Step 3: Cross multiply
    8,381.15x = 12,571.62 × 2,537.76
  4. Step 4: Simplify right side
    8,381.15x = 31,903,754.37
  5. Step 5: Solve for x
    x = 31,903,754.37/8,381.15
  6. Step 6: Final answer
    x = 3,806.61

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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.