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Finding the Fourth Proportional to 10,806.94, 16,194.21 and 8,338.06

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Solution

The fourth proportional to 10,806.94, 16,194.21 and 8,338.06 is: 12,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.94 : 16,194.21 = 8,338.06 : x
  2. Step 2: Convert to fraction form
    10,806.94/16,194.21 = 8,338.06/x
  3. Step 3: Cross multiply
    10,806.94x = 16,194.21 × 8,338.06
  4. Step 4: Simplify right side
    10,806.94x = 135,028,294.63
  5. Step 5: Solve for x
    x = 135,028,294.63/10,806.94
  6. Step 6: Final answer
    x = 12,494.59

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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.