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Finding the Fourth Proportional to 6,883.77, 10,324.08 and 3,182.43

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Solution

The fourth proportional to 6,883.77, 10,324.08 and 3,182.43 is: 4,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.77 : 10,324.08 = 3,182.43 : x
  2. Step 2: Convert to fraction form
    6,883.77/10,324.08 = 3,182.43/x
  3. Step 3: Cross multiply
    6,883.77x = 10,324.08 × 3,182.43
  4. Step 4: Simplify right side
    6,883.77x = 32,855,661.91
  5. Step 5: Solve for x
    x = 32,855,661.91/6,883.77
  6. Step 6: Final answer
    x = 4,772.92

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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.