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Finding the Fourth Proportional to 11,847.18, 17,770.79 and 3,082.08

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Solution

The fourth proportional to 11,847.18, 17,770.79 and 3,082.08 is: 4,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.18 : 17,770.79 = 3,082.08 : x
  2. Step 2: Convert to fraction form
    11,847.18/17,770.79 = 3,082.08/x
  3. Step 3: Cross multiply
    11,847.18x = 17,770.79 × 3,082.08
  4. Step 4: Simplify right side
    11,847.18x = 54,770,952.02
  5. Step 5: Solve for x
    x = 54,770,952.02/11,847.18
  6. Step 6: Final answer
    x = 4,623.12

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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.