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Finding the Fourth Proportional to 10,882.28, 16,323.42 and 7,183.64

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Solution

The fourth proportional to 10,882.28, 16,323.42 and 7,183.64 is: 10,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.28 : 16,323.42 = 7,183.64 : x
  2. Step 2: Convert to fraction form
    10,882.28/16,323.42 = 7,183.64/x
  3. Step 3: Cross multiply
    10,882.28x = 16,323.42 × 7,183.64
  4. Step 4: Simplify right side
    10,882.28x = 117,261,640.60
  5. Step 5: Solve for x
    x = 117,261,640.60/10,882.28
  6. Step 6: Final answer
    x = 10,775.46

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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.