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Finding the Fourth Proportional to 11,000.28, 16,500.14 and 3,209.16

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Solution

The fourth proportional to 11,000.28, 16,500.14 and 3,209.16 is: 4,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.28 : 16,500.14 = 3,209.16 : x
  2. Step 2: Convert to fraction form
    11,000.28/16,500.14 = 3,209.16/x
  3. Step 3: Cross multiply
    11,000.28x = 16,500.14 × 3,209.16
  4. Step 4: Simplify right side
    11,000.28x = 52,951,589.28
  5. Step 5: Solve for x
    x = 52,951,589.28/11,000.28
  6. Step 6: Final answer
    x = 4,813.66

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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.