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Finding the Fourth Proportional to 10,132.94, 15,198.21 and 2,737.97

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Solution

The fourth proportional to 10,132.94, 15,198.21 and 2,737.97 is: 4,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.94 : 15,198.21 = 2,737.97 : x
  2. Step 2: Convert to fraction form
    10,132.94/15,198.21 = 2,737.97/x
  3. Step 3: Cross multiply
    10,132.94x = 15,198.21 × 2,737.97
  4. Step 4: Simplify right side
    10,132.94x = 41,612,243.03
  5. Step 5: Solve for x
    x = 41,612,243.03/10,132.94
  6. Step 6: Final answer
    x = 4,106.63

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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.