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Finding the Fourth Proportional to 11,171.57, 16,760.12 and 3,380.40

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Solution

The fourth proportional to 11,171.57, 16,760.12 and 3,380.40 is: 5,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.57 : 16,760.12 = 3,380.40 : x
  2. Step 2: Convert to fraction form
    11,171.57/16,760.12 = 3,380.40/x
  3. Step 3: Cross multiply
    11,171.57x = 16,760.12 × 3,380.40
  4. Step 4: Simplify right side
    11,171.57x = 56,655,892.75
  5. Step 5: Solve for x
    x = 56,655,892.75/11,171.57
  6. Step 6: Final answer
    x = 5,071.44

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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.