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Finding the Fourth Proportional to 10,819.98, 16,231.61 and 3,421.98

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Solution

The fourth proportional to 10,819.98, 16,231.61 and 3,421.98 is: 5,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.98 : 16,231.61 = 3,421.98 : x
  2. Step 2: Convert to fraction form
    10,819.98/16,231.61 = 3,421.98/x
  3. Step 3: Cross multiply
    10,819.98x = 16,231.61 × 3,421.98
  4. Step 4: Simplify right side
    10,819.98x = 55,544,244.79
  5. Step 5: Solve for x
    x = 55,544,244.79/10,819.98
  6. Step 6: Final answer
    x = 5,133.49

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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.