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Finding the Fourth Proportional to 8,132.97, 12,196.71 and 2,288.19

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Solution

The fourth proportional to 8,132.97, 12,196.71 and 2,288.19 is: 3,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.97 : 12,196.71 = 2,288.19 : x
  2. Step 2: Convert to fraction form
    8,132.97/12,196.71 = 2,288.19/x
  3. Step 3: Cross multiply
    8,132.97x = 12,196.71 × 2,288.19
  4. Step 4: Simplify right side
    8,132.97x = 27,908,389.85
  5. Step 5: Solve for x
    x = 27,908,389.85/8,132.97
  6. Step 6: Final answer
    x = 3,431.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.