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Finding the Fourth Proportional to 10,873.54, 16,310.28 and 3,082.42

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Solution

The fourth proportional to 10,873.54, 16,310.28 and 3,082.42 is: 4,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.54 : 16,310.28 = 3,082.42 : x
  2. Step 2: Convert to fraction form
    10,873.54/16,310.28 = 3,082.42/x
  3. Step 3: Cross multiply
    10,873.54x = 16,310.28 × 3,082.42
  4. Step 4: Simplify right side
    10,873.54x = 50,275,133.28
  5. Step 5: Solve for x
    x = 50,275,133.28/10,873.54
  6. Step 6: Final answer
    x = 4,623.62

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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.