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Finding the Fourth Proportional to 8,121.54, 12,183.09 and 2,278.14

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Solution

The fourth proportional to 8,121.54, 12,183.09 and 2,278.14 is: 3,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.54 : 12,183.09 = 2,278.14 : x
  2. Step 2: Convert to fraction form
    8,121.54/12,183.09 = 2,278.14/x
  3. Step 3: Cross multiply
    8,121.54x = 12,183.09 × 2,278.14
  4. Step 4: Simplify right side
    8,121.54x = 27,754,784.65
  5. Step 5: Solve for x
    x = 27,754,784.65/8,121.54
  6. Step 6: Final answer
    x = 3,417.43

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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.