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Finding the Fourth Proportional to 11,469.20, 17,202.64 and 3,150

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Solution

The fourth proportional to 11,469.20, 17,202.64 and 3,150 is: 4,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.20 : 17,202.64 = 3,150 : x
  2. Step 2: Convert to fraction form
    11,469.20/17,202.64 = 3,150/x
  3. Step 3: Cross multiply
    11,469.20x = 17,202.64 × 3,150
  4. Step 4: Simplify right side
    11,469.20x = 54,188,316
  5. Step 5: Solve for x
    x = 54,188,316/11,469.20
  6. Step 6: Final answer
    x = 4,724.68

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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.