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Finding the Fourth Proportional to 27,586.80, 41,381.80 and 7,866.80

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Solution

The fourth proportional to 27,586.80, 41,381.80 and 7,866.80 is: 11,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.80 : 41,381.80 = 7,866.80 : x
  2. Step 2: Convert to fraction form
    27,586.80/41,381.80 = 7,866.80/x
  3. Step 3: Cross multiply
    27,586.80x = 41,381.80 × 7,866.80
  4. Step 4: Simplify right side
    27,586.80x = 325,542,344.24
  5. Step 5: Solve for x
    x = 325,542,344.24/27,586.80
  6. Step 6: Final answer
    x = 11,800.66

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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.