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Finding the Fourth Proportional to 11,596.33, 17,369.85 and 7,850.39

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Solution

The fourth proportional to 11,596.33, 17,369.85 and 7,850.39 is: 11,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.33 : 17,369.85 = 7,850.39 : x
  2. Step 2: Convert to fraction form
    11,596.33/17,369.85 = 7,850.39/x
  3. Step 3: Cross multiply
    11,596.33x = 17,369.85 × 7,850.39
  4. Step 4: Simplify right side
    11,596.33x = 136,360,057.49
  5. Step 5: Solve for x
    x = 136,360,057.49/11,596.33
  6. Step 6: Final answer
    x = 11,758.90

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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.