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Finding the Fourth Proportional to 10,873.41, 16,310.10 and 3,082.23

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Solution

The fourth proportional to 10,873.41, 16,310.10 and 3,082.23 is: 4,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.41 : 16,310.10 = 3,082.23 : x
  2. Step 2: Convert to fraction form
    10,873.41/16,310.10 = 3,082.23/x
  3. Step 3: Cross multiply
    10,873.41x = 16,310.10 × 3,082.23
  4. Step 4: Simplify right side
    10,873.41x = 50,271,479.52
  5. Step 5: Solve for x
    x = 50,271,479.52/10,873.41
  6. Step 6: Final answer
    x = 4,623.34

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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.