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Finding the Fourth Proportional to 11,082, 16,625.74 and 3,290.78

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Solution

The fourth proportional to 11,082, 16,625.74 and 3,290.78 is: 4,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082 : 16,625.74 = 3,290.78 : x
  2. Step 2: Convert to fraction form
    11,082/16,625.74 = 3,290.78/x
  3. Step 3: Cross multiply
    11,082x = 16,625.74 × 3,290.78
  4. Step 4: Simplify right side
    11,082x = 54,711,652.68
  5. Step 5: Solve for x
    x = 54,711,652.68/11,082
  6. Step 6: Final answer
    x = 4,936.98

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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.