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Finding the Fourth Proportional to 8,286.65, 12,428.61 and 2,441.89

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Solution

The fourth proportional to 8,286.65, 12,428.61 and 2,441.89 is: 3,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.65 : 12,428.61 = 2,441.89 : x
  2. Step 2: Convert to fraction form
    8,286.65/12,428.61 = 2,441.89/x
  3. Step 3: Cross multiply
    8,286.65x = 12,428.61 × 2,441.89
  4. Step 4: Simplify right side
    8,286.65x = 30,349,304.85
  5. Step 5: Solve for x
    x = 30,349,304.85/8,286.65
  6. Step 6: Final answer
    x = 3,662.43

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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.