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Finding the Fourth Proportional to 27,378, 41,067 and 8,910

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Solution

The fourth proportional to 27,378, 41,067 and 8,910 is: 13,365

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378 : 41,067 = 8,910 : x
  2. Step 2: Convert to fraction form
    27,378/41,067 = 8,910/x
  3. Step 3: Cross multiply
    27,378x = 41,067 × 8,910
  4. Step 4: Simplify right side
    27,378x = 365,906,970
  5. Step 5: Solve for x
    x = 365,906,970/27,378
  6. Step 6: Final answer
    x = 13,365

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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.