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Finding the Fourth Proportional to 8,176.65, 12,257.67 and 3,243.75

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Solution

The fourth proportional to 8,176.65, 12,257.67 and 3,243.75 is: 4,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.65 : 12,257.67 = 3,243.75 : x
  2. Step 2: Convert to fraction form
    8,176.65/12,257.67 = 3,243.75/x
  3. Step 3: Cross multiply
    8,176.65x = 12,257.67 × 3,243.75
  4. Step 4: Simplify right side
    8,176.65x = 39,760,817.06
  5. Step 5: Solve for x
    x = 39,760,817.06/8,176.65
  6. Step 6: Final answer
    x = 4,862.73

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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.