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Finding the Fourth Proportional to 8,108.62, 12,164.18 and 3,428.64

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Solution

The fourth proportional to 8,108.62, 12,164.18 and 3,428.64 is: 5,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.62 : 12,164.18 = 3,428.64 : x
  2. Step 2: Convert to fraction form
    8,108.62/12,164.18 = 3,428.64/x
  3. Step 3: Cross multiply
    8,108.62x = 12,164.18 × 3,428.64
  4. Step 4: Simplify right side
    8,108.62x = 41,706,594.12
  5. Step 5: Solve for x
    x = 41,706,594.12/8,108.62
  6. Step 6: Final answer
    x = 5,143.49

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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.