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Finding the Fourth Proportional to 27,361.73, 41,035.29 and 7,636.82

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Solution

The fourth proportional to 27,361.73, 41,035.29 and 7,636.82 is: 11,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,361.73 : 41,035.29 = 7,636.82 : x
  2. Step 2: Convert to fraction form
    27,361.73/41,035.29 = 7,636.82/x
  3. Step 3: Cross multiply
    27,361.73x = 41,035.29 × 7,636.82
  4. Step 4: Simplify right side
    27,361.73x = 313,379,123.38
  5. Step 5: Solve for x
    x = 313,379,123.38/27,361.73
  6. Step 6: Final answer
    x = 11,453.19

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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.