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Finding the Fourth Proportional to 11,782.62, 17,650.06 and 5,448.50

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Solution

The fourth proportional to 11,782.62, 17,650.06 and 5,448.50 is: 8,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.62 : 17,650.06 = 5,448.50 : x
  2. Step 2: Convert to fraction form
    11,782.62/17,650.06 = 5,448.50/x
  3. Step 3: Cross multiply
    11,782.62x = 17,650.06 × 5,448.50
  4. Step 4: Simplify right side
    11,782.62x = 96,166,396.04
  5. Step 5: Solve for x
    x = 96,166,396.04/11,782.62
  6. Step 6: Final answer
    x = 8,161.71

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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.