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Finding the Fourth Proportional to 8,105, 12,162.54 and 3,488.04

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Solution

The fourth proportional to 8,105, 12,162.54 and 3,488.04 is: 5,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105 : 12,162.54 = 3,488.04 : x
  2. Step 2: Convert to fraction form
    8,105/12,162.54 = 3,488.04/x
  3. Step 3: Cross multiply
    8,105x = 12,162.54 × 3,488.04
  4. Step 4: Simplify right side
    8,105x = 42,423,426.02
  5. Step 5: Solve for x
    x = 42,423,426.02/8,105
  6. Step 6: Final answer
    x = 5,234.23

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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.