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Finding the Fourth Proportional to 8,008.20, 12,010.88 and 2,164.06

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Solution

The fourth proportional to 8,008.20, 12,010.88 and 2,164.06 is: 3,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.20 : 12,010.88 = 2,164.06 : x
  2. Step 2: Convert to fraction form
    8,008.20/12,010.88 = 2,164.06/x
  3. Step 3: Cross multiply
    8,008.20x = 12,010.88 × 2,164.06
  4. Step 4: Simplify right side
    8,008.20x = 25,992,264.97
  5. Step 5: Solve for x
    x = 25,992,264.97/8,008.20
  6. Step 6: Final answer
    x = 3,245.71

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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.