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Finding the Fourth Proportional to 11,105.74, 16,667.44 and 5,843.82

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Solution

The fourth proportional to 11,105.74, 16,667.44 and 5,843.82 is: 8,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.74 : 16,667.44 = 5,843.82 : x
  2. Step 2: Convert to fraction form
    11,105.74/16,667.44 = 5,843.82/x
  3. Step 3: Cross multiply
    11,105.74x = 16,667.44 × 5,843.82
  4. Step 4: Simplify right side
    11,105.74x = 97,401,519.22
  5. Step 5: Solve for x
    x = 97,401,519.22/11,105.74
  6. Step 6: Final answer
    x = 8,770.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.