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Finding the Fourth Proportional to 11,716.36, 16,172.34 and 7,741

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Solution

The fourth proportional to 11,716.36, 16,172.34 and 7,741 is: 10,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.36 : 16,172.34 = 7,741 : x
  2. Step 2: Convert to fraction form
    11,716.36/16,172.34 = 7,741/x
  3. Step 3: Cross multiply
    11,716.36x = 16,172.34 × 7,741
  4. Step 4: Simplify right side
    11,716.36x = 125,190,083.94
  5. Step 5: Solve for x
    x = 125,190,083.94/11,716.36
  6. Step 6: Final answer
    x = 10,685.07

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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.