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Finding the Fourth Proportional to 11,721.68, 17,563.02 and 8,251.64

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Solution

The fourth proportional to 11,721.68, 17,563.02 and 8,251.64 is: 12,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.68 : 17,563.02 = 8,251.64 : x
  2. Step 2: Convert to fraction form
    11,721.68/17,563.02 = 8,251.64/x
  3. Step 3: Cross multiply
    11,721.68x = 17,563.02 × 8,251.64
  4. Step 4: Simplify right side
    11,721.68x = 144,923,718.35
  5. Step 5: Solve for x
    x = 144,923,718.35/11,721.68
  6. Step 6: Final answer
    x = 12,363.73

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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.