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Finding the Fourth Proportional to 10,168.76, 15,227.22 and 4,961

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Solution

The fourth proportional to 10,168.76, 15,227.22 and 4,961 is: 7,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.76 : 15,227.22 = 4,961 : x
  2. Step 2: Convert to fraction form
    10,168.76/15,227.22 = 4,961/x
  3. Step 3: Cross multiply
    10,168.76x = 15,227.22 × 4,961
  4. Step 4: Simplify right side
    10,168.76x = 75,542,238.42
  5. Step 5: Solve for x
    x = 75,542,238.42/10,168.76
  6. Step 6: Final answer
    x = 7,428.85

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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.