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Finding the Fourth Proportional to 27,687.88, 41,524.16 and 7,692.80

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Solution

The fourth proportional to 27,687.88, 41,524.16 and 7,692.80 is: 11,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.88 : 41,524.16 = 7,692.80 : x
  2. Step 2: Convert to fraction form
    27,687.88/41,524.16 = 7,692.80/x
  3. Step 3: Cross multiply
    27,687.88x = 41,524.16 × 7,692.80
  4. Step 4: Simplify right side
    27,687.88x = 319,437,058.05
  5. Step 5: Solve for x
    x = 319,437,058.05/27,687.88
  6. Step 6: Final answer
    x = 11,537.07

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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.