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Finding the Fourth Proportional to 10,311.96, 15,467.90 and 3,736.62

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Solution

The fourth proportional to 10,311.96, 15,467.90 and 3,736.62 is: 5,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.96 : 15,467.90 = 3,736.62 : x
  2. Step 2: Convert to fraction form
    10,311.96/15,467.90 = 3,736.62/x
  3. Step 3: Cross multiply
    10,311.96x = 15,467.90 × 3,736.62
  4. Step 4: Simplify right side
    10,311.96x = 57,797,664.50
  5. Step 5: Solve for x
    x = 57,797,664.50/10,311.96
  6. Step 6: Final answer
    x = 5,604.92

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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.