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Finding the Fourth Proportional to 27,817.77, 41,726.21 and 6,757.99

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Solution

The fourth proportional to 27,817.77, 41,726.21 and 6,757.99 is: 10,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.77 : 41,726.21 = 6,757.99 : x
  2. Step 2: Convert to fraction form
    27,817.77/41,726.21 = 6,757.99/x
  3. Step 3: Cross multiply
    27,817.77x = 41,726.21 × 6,757.99
  4. Step 4: Simplify right side
    27,817.77x = 281,985,171.81
  5. Step 5: Solve for x
    x = 281,985,171.81/27,817.77
  6. Step 6: Final answer
    x = 10,136.87

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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.