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Finding the Fourth Proportional to 11,227.48, 16,819.34 and 6,834.04

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Solution

The fourth proportional to 11,227.48, 16,819.34 and 6,834.04 is: 10,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.48 : 16,819.34 = 6,834.04 : x
  2. Step 2: Convert to fraction form
    11,227.48/16,819.34 = 6,834.04/x
  3. Step 3: Cross multiply
    11,227.48x = 16,819.34 × 6,834.04
  4. Step 4: Simplify right side
    11,227.48x = 114,943,924.07
  5. Step 5: Solve for x
    x = 114,943,924.07/11,227.48
  6. Step 6: Final answer
    x = 10,237.74

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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.