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Finding the Fourth Proportional to 11,859.30, 17,786.99 and 5,198.67

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Solution

The fourth proportional to 11,859.30, 17,786.99 and 5,198.67 is: 7,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.30 : 17,786.99 = 5,198.67 : x
  2. Step 2: Convert to fraction form
    11,859.30/17,786.99 = 5,198.67/x
  3. Step 3: Cross multiply
    11,859.30x = 17,786.99 × 5,198.67
  4. Step 4: Simplify right side
    11,859.30x = 92,468,704.30
  5. Step 5: Solve for x
    x = 92,468,704.30/11,859.30
  6. Step 6: Final answer
    x = 7,797.15

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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.