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Finding the Fourth Proportional to 8,006, 12,010.92 and 2,534

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Solution

The fourth proportional to 8,006, 12,010.92 and 2,534 is: 3,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006 : 12,010.92 = 2,534 : x
  2. Step 2: Convert to fraction form
    8,006/12,010.92 = 2,534/x
  3. Step 3: Cross multiply
    8,006x = 12,010.92 × 2,534
  4. Step 4: Simplify right side
    8,006x = 30,435,671.28
  5. Step 5: Solve for x
    x = 30,435,671.28/8,006
  6. Step 6: Final answer
    x = 3,801.61

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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.