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Finding the Fourth Proportional to 10,194.28, 15,266.73 and 5,183.48

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Solution

The fourth proportional to 10,194.28, 15,266.73 and 5,183.48 is: 7,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.28 : 15,266.73 = 5,183.48 : x
  2. Step 2: Convert to fraction form
    10,194.28/15,266.73 = 5,183.48/x
  3. Step 3: Cross multiply
    10,194.28x = 15,266.73 × 5,183.48
  4. Step 4: Simplify right side
    10,194.28x = 79,134,789.62
  5. Step 5: Solve for x
    x = 79,134,789.62/10,194.28
  6. Step 6: Final answer
    x = 7,762.67

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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.