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Finding the Fourth Proportional to 10,806.78, 16,212 and 3,411.09

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Solution

The fourth proportional to 10,806.78, 16,212 and 3,411.09 is: 5,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.78 : 16,212 = 3,411.09 : x
  2. Step 2: Convert to fraction form
    10,806.78/16,212 = 3,411.09/x
  3. Step 3: Cross multiply
    10,806.78x = 16,212 × 3,411.09
  4. Step 4: Simplify right side
    10,806.78x = 55,300,591.08
  5. Step 5: Solve for x
    x = 55,300,591.08/10,806.78
  6. Step 6: Final answer
    x = 5,117.21

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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.