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Finding the Fourth Proportional to 11,500.29, 17,251.44 and 3,180.30

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Solution

The fourth proportional to 11,500.29, 17,251.44 and 3,180.30 is: 4,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.29 : 17,251.44 = 3,180.30 : x
  2. Step 2: Convert to fraction form
    11,500.29/17,251.44 = 3,180.30/x
  3. Step 3: Cross multiply
    11,500.29x = 17,251.44 × 3,180.30
  4. Step 4: Simplify right side
    11,500.29x = 54,864,754.63
  5. Step 5: Solve for x
    x = 54,864,754.63/11,500.29
  6. Step 6: Final answer
    x = 4,770.73

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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.