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Finding the Fourth Proportional to 27,687.26, 41,538 and 7,967.36

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Solution

The fourth proportional to 27,687.26, 41,538 and 7,967.36 is: 11,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.26 : 41,538 = 7,967.36 : x
  2. Step 2: Convert to fraction form
    27,687.26/41,538 = 7,967.36/x
  3. Step 3: Cross multiply
    27,687.26x = 41,538 × 7,967.36
  4. Step 4: Simplify right side
    27,687.26x = 330,948,199.68
  5. Step 5: Solve for x
    x = 330,948,199.68/27,687.26
  6. Step 6: Final answer
    x = 11,953.09

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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.