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Finding the Fourth Proportional to 8,229.99, 12,346.16 and 3,035.49

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Solution

The fourth proportional to 8,229.99, 12,346.16 and 3,035.49 is: 4,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.99 : 12,346.16 = 3,035.49 : x
  2. Step 2: Convert to fraction form
    8,229.99/12,346.16 = 3,035.49/x
  3. Step 3: Cross multiply
    8,229.99x = 12,346.16 × 3,035.49
  4. Step 4: Simplify right side
    8,229.99x = 37,476,630.04
  5. Step 5: Solve for x
    x = 37,476,630.04/8,229.99
  6. Step 6: Final answer
    x = 4,553.67

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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.