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Finding the Fourth Proportional to 11,652.75, 16,082.01 and 6,618.33

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Solution

The fourth proportional to 11,652.75, 16,082.01 and 6,618.33 is: 9,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.75 : 16,082.01 = 6,618.33 : x
  2. Step 2: Convert to fraction form
    11,652.75/16,082.01 = 6,618.33/x
  3. Step 3: Cross multiply
    11,652.75x = 16,082.01 × 6,618.33
  4. Step 4: Simplify right side
    11,652.75x = 106,436,049.24
  5. Step 5: Solve for x
    x = 106,436,049.24/11,652.75
  6. Step 6: Final answer
    x = 9,133.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.