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Finding the Fourth Proportional to 11,847.88, 17,772.85 and 3,082.80

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Solution

The fourth proportional to 11,847.88, 17,772.85 and 3,082.80 is: 4,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.88 : 17,772.85 = 3,082.80 : x
  2. Step 2: Convert to fraction form
    11,847.88/17,772.85 = 3,082.80/x
  3. Step 3: Cross multiply
    11,847.88x = 17,772.85 × 3,082.80
  4. Step 4: Simplify right side
    11,847.88x = 54,790,141.98
  5. Step 5: Solve for x
    x = 54,790,141.98/11,847.88
  6. Step 6: Final answer
    x = 4,624.47

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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.