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Finding the Fourth Proportional to 7,192.74, 10,786.50 and 2,511.44

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Solution

The fourth proportional to 7,192.74, 10,786.50 and 2,511.44 is: 3,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.74 : 10,786.50 = 2,511.44 : x
  2. Step 2: Convert to fraction form
    7,192.74/10,786.50 = 2,511.44/x
  3. Step 3: Cross multiply
    7,192.74x = 10,786.50 × 2,511.44
  4. Step 4: Simplify right side
    7,192.74x = 27,089,593.63
  5. Step 5: Solve for x
    x = 27,089,593.63/7,192.74
  6. Step 6: Final answer
    x = 3,766.24

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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.