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Finding the Fourth Proportional to 6,882.48, 10,323.75 and 3,183.63

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Solution

The fourth proportional to 6,882.48, 10,323.75 and 3,183.63 is: 4,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.48 : 10,323.75 = 3,183.63 : x
  2. Step 2: Convert to fraction form
    6,882.48/10,323.75 = 3,183.63/x
  3. Step 3: Cross multiply
    6,882.48x = 10,323.75 × 3,183.63
  4. Step 4: Simplify right side
    6,882.48x = 32,867,000.21
  5. Step 5: Solve for x
    x = 32,867,000.21/6,882.48
  6. Step 6: Final answer
    x = 4,775.46

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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.