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Finding the Fourth Proportional to 10,809.12, 16,220.97 and 4,234.50

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Solution

The fourth proportional to 10,809.12, 16,220.97 and 4,234.50 is: 6,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.12 : 16,220.97 = 4,234.50 : x
  2. Step 2: Convert to fraction form
    10,809.12/16,220.97 = 4,234.50/x
  3. Step 3: Cross multiply
    10,809.12x = 16,220.97 × 4,234.50
  4. Step 4: Simplify right side
    10,809.12x = 68,687,697.47
  5. Step 5: Solve for x
    x = 68,687,697.47/10,809.12
  6. Step 6: Final answer
    x = 6,354.61

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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.