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Finding the Fourth Proportional to 10,859.20, 16,257.09 and 6,686.68

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Solution

The fourth proportional to 10,859.20, 16,257.09 and 6,686.68 is: 10,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.20 : 16,257.09 = 6,686.68 : x
  2. Step 2: Convert to fraction form
    10,859.20/16,257.09 = 6,686.68/x
  3. Step 3: Cross multiply
    10,859.20x = 16,257.09 × 6,686.68
  4. Step 4: Simplify right side
    10,859.20x = 108,705,958.56
  5. Step 5: Solve for x
    x = 108,705,958.56/10,859.20
  6. Step 6: Final answer
    x = 10,010.49

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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.