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Finding the Fourth Proportional to 10,115.50, 15,175.81 and 2,819.50

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Solution

The fourth proportional to 10,115.50, 15,175.81 and 2,819.50 is: 4,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.50 : 15,175.81 = 2,819.50 : x
  2. Step 2: Convert to fraction form
    10,115.50/15,175.81 = 2,819.50/x
  3. Step 3: Cross multiply
    10,115.50x = 15,175.81 × 2,819.50
  4. Step 4: Simplify right side
    10,115.50x = 42,788,196.30
  5. Step 5: Solve for x
    x = 42,788,196.30/10,115.50
  6. Step 6: Final answer
    x = 4,229.96

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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.