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Finding the Fourth Proportional to 11,711.63, 16,168.73 and 7,744.25

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Solution

The fourth proportional to 11,711.63, 16,168.73 and 7,744.25 is: 10,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.63 : 16,168.73 = 7,744.25 : x
  2. Step 2: Convert to fraction form
    11,711.63/16,168.73 = 7,744.25/x
  3. Step 3: Cross multiply
    11,711.63x = 16,168.73 × 7,744.25
  4. Step 4: Simplify right side
    11,711.63x = 125,214,687.30
  5. Step 5: Solve for x
    x = 125,214,687.30/11,711.63
  6. Step 6: Final answer
    x = 10,691.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.