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Finding the Fourth Proportional to 10,819.78, 16,231.53 and 3,424.12

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Solution

The fourth proportional to 10,819.78, 16,231.53 and 3,424.12 is: 5,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.78 : 16,231.53 = 3,424.12 : x
  2. Step 2: Convert to fraction form
    10,819.78/16,231.53 = 3,424.12/x
  3. Step 3: Cross multiply
    10,819.78x = 16,231.53 × 3,424.12
  4. Step 4: Simplify right side
    10,819.78x = 55,578,706.50
  5. Step 5: Solve for x
    x = 55,578,706.50/10,819.78
  6. Step 6: Final answer
    x = 5,136.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.