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Finding the Fourth Proportional to 10,765.24, 16,141.24 and 4,183.75

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Solution

The fourth proportional to 10,765.24, 16,141.24 and 4,183.75 is: 6,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.24 : 16,141.24 = 4,183.75 : x
  2. Step 2: Convert to fraction form
    10,765.24/16,141.24 = 4,183.75/x
  3. Step 3: Cross multiply
    10,765.24x = 16,141.24 × 4,183.75
  4. Step 4: Simplify right side
    10,765.24x = 67,530,938.26
  5. Step 5: Solve for x
    x = 67,530,938.26/10,765.24
  6. Step 6: Final answer
    x = 6,273.06

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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.