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Finding the Fourth Proportional to 11,958.37, 16,500.38 and 6,922.80

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Solution

The fourth proportional to 11,958.37, 16,500.38 and 6,922.80 is: 9,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.37 : 16,500.38 = 6,922.80 : x
  2. Step 2: Convert to fraction form
    11,958.37/16,500.38 = 6,922.80/x
  3. Step 3: Cross multiply
    11,958.37x = 16,500.38 × 6,922.80
  4. Step 4: Simplify right side
    11,958.37x = 114,228,796.05
  5. Step 5: Solve for x
    x = 114,228,796.05/11,958.37
  6. Step 6: Final answer
    x = 9,552.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.