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Finding the Fourth Proportional to 11,793.77, 17,676.42 and 5,212.49

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Solution

The fourth proportional to 11,793.77, 17,676.42 and 5,212.49 is: 7,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.77 : 17,676.42 = 5,212.49 : x
  2. Step 2: Convert to fraction form
    11,793.77/17,676.42 = 5,212.49/x
  3. Step 3: Cross multiply
    11,793.77x = 17,676.42 × 5,212.49
  4. Step 4: Simplify right side
    11,793.77x = 92,138,136.42
  5. Step 5: Solve for x
    x = 92,138,136.42/11,793.77
  6. Step 6: Final answer
    x = 7,812.44

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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.