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Finding the Fourth Proportional to 10,493.82, 15,742.44 and 3,099.03

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Solution

The fourth proportional to 10,493.82, 15,742.44 and 3,099.03 is: 4,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.82 : 15,742.44 = 3,099.03 : x
  2. Step 2: Convert to fraction form
    10,493.82/15,742.44 = 3,099.03/x
  3. Step 3: Cross multiply
    10,493.82x = 15,742.44 × 3,099.03
  4. Step 4: Simplify right side
    10,493.82x = 48,786,234.80
  5. Step 5: Solve for x
    x = 48,786,234.80/10,493.82
  6. Step 6: Final answer
    x = 4,649.04

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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.