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Finding the Fourth Proportional to 11,855.97, 16,360.38 and 6,550.88

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Solution

The fourth proportional to 11,855.97, 16,360.38 and 6,550.88 is: 9,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.97 : 16,360.38 = 6,550.88 : x
  2. Step 2: Convert to fraction form
    11,855.97/16,360.38 = 6,550.88/x
  3. Step 3: Cross multiply
    11,855.97x = 16,360.38 × 6,550.88
  4. Step 4: Simplify right side
    11,855.97x = 107,174,804.33
  5. Step 5: Solve for x
    x = 107,174,804.33/11,855.97
  6. Step 6: Final answer
    x = 9,039.73

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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.