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Finding the Fourth Proportional to 10,819.27, 16,217.76 and 7,850.31

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Solution

The fourth proportional to 10,819.27, 16,217.76 and 7,850.31 is: 11,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.27 : 16,217.76 = 7,850.31 : x
  2. Step 2: Convert to fraction form
    10,819.27/16,217.76 = 7,850.31/x
  3. Step 3: Cross multiply
    10,819.27x = 16,217.76 × 7,850.31
  4. Step 4: Simplify right side
    10,819.27x = 127,314,443.51
  5. Step 5: Solve for x
    x = 127,314,443.51/10,819.27
  6. Step 6: Final answer
    x = 11,767.38

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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.