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Finding the Fourth Proportional to 8,156, 12,234.12 and 2,000

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Solution

The fourth proportional to 8,156, 12,234.12 and 2,000 is: 3,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156 : 12,234.12 = 2,000 : x
  2. Step 2: Convert to fraction form
    8,156/12,234.12 = 2,000/x
  3. Step 3: Cross multiply
    8,156x = 12,234.12 × 2,000
  4. Step 4: Simplify right side
    8,156x = 24,468,240
  5. Step 5: Solve for x
    x = 24,468,240/8,156
  6. Step 6: Final answer
    x = 3,000.03

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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.