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Finding the Fourth Proportional to 11,214.46, 16,823.49 and 3,819.34

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Solution

The fourth proportional to 11,214.46, 16,823.49 and 3,819.34 is: 5,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.46 : 16,823.49 = 3,819.34 : x
  2. Step 2: Convert to fraction form
    11,214.46/16,823.49 = 3,819.34/x
  3. Step 3: Cross multiply
    11,214.46x = 16,823.49 × 3,819.34
  4. Step 4: Simplify right side
    11,214.46x = 64,254,628.30
  5. Step 5: Solve for x
    x = 64,254,628.30/11,214.46
  6. Step 6: Final answer
    x = 5,729.62

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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.