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Finding the Fourth Proportional to 8,524.14, 12,786.42 and 3,593.81

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Solution

The fourth proportional to 8,524.14, 12,786.42 and 3,593.81 is: 5,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.14 : 12,786.42 = 3,593.81 : x
  2. Step 2: Convert to fraction form
    8,524.14/12,786.42 = 3,593.81/x
  3. Step 3: Cross multiply
    8,524.14x = 12,786.42 × 3,593.81
  4. Step 4: Simplify right side
    8,524.14x = 45,951,900.13
  5. Step 5: Solve for x
    x = 45,951,900.13/8,524.14
  6. Step 6: Final answer
    x = 5,390.80

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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.