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Finding the Fourth Proportional to 11,144, 16,716.96 and 2,936

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Solution

The fourth proportional to 11,144, 16,716.96 and 2,936 is: 4,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144 : 16,716.96 = 2,936 : x
  2. Step 2: Convert to fraction form
    11,144/16,716.96 = 2,936/x
  3. Step 3: Cross multiply
    11,144x = 16,716.96 × 2,936
  4. Step 4: Simplify right side
    11,144x = 49,080,994.56
  5. Step 5: Solve for x
    x = 49,080,994.56/11,144
  6. Step 6: Final answer
    x = 4,404.25

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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.