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Finding the Fourth Proportional to 11,855.96, 16,361 and 6,550.66

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Solution

The fourth proportional to 11,855.96, 16,361 and 6,550.66 is: 9,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.96 : 16,361 = 6,550.66 : x
  2. Step 2: Convert to fraction form
    11,855.96/16,361 = 6,550.66/x
  3. Step 3: Cross multiply
    11,855.96x = 16,361 × 6,550.66
  4. Step 4: Simplify right side
    11,855.96x = 107,175,348.26
  5. Step 5: Solve for x
    x = 107,175,348.26/11,855.96
  6. Step 6: Final answer
    x = 9,039.79

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