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Finding the Fourth Proportional to 10,906.38, 16,357.82 and 3,113.37

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Solution

The fourth proportional to 10,906.38, 16,357.82 and 3,113.37 is: 4,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.38 : 16,357.82 = 3,113.37 : x
  2. Step 2: Convert to fraction form
    10,906.38/16,357.82 = 3,113.37/x
  3. Step 3: Cross multiply
    10,906.38x = 16,357.82 × 3,113.37
  4. Step 4: Simplify right side
    10,906.38x = 50,927,930.49
  5. Step 5: Solve for x
    x = 50,927,930.49/10,906.38
  6. Step 6: Final answer
    x = 4,669.55

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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.