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Finding the Fourth Proportional to 11,172.30, 16,763.92 and 7,906.38

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Solution

The fourth proportional to 11,172.30, 16,763.92 and 7,906.38 is: 11,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.30 : 16,763.92 = 7,906.38 : x
  2. Step 2: Convert to fraction form
    11,172.30/16,763.92 = 7,906.38/x
  3. Step 3: Cross multiply
    11,172.30x = 16,763.92 × 7,906.38
  4. Step 4: Simplify right side
    11,172.30x = 132,541,921.81
  5. Step 5: Solve for x
    x = 132,541,921.81/11,172.30
  6. Step 6: Final answer
    x = 11,863.44

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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.