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Finding the Fourth Proportional to 10,874.16, 16,311.21 and 3,082.98

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Solution

The fourth proportional to 10,874.16, 16,311.21 and 3,082.98 is: 4,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.16 : 16,311.21 = 3,082.98 : x
  2. Step 2: Convert to fraction form
    10,874.16/16,311.21 = 3,082.98/x
  3. Step 3: Cross multiply
    10,874.16x = 16,311.21 × 3,082.98
  4. Step 4: Simplify right side
    10,874.16x = 50,287,134.21
  5. Step 5: Solve for x
    x = 50,287,134.21/10,874.16
  6. Step 6: Final answer
    x = 4,624.46

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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.