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Finding the Fourth Proportional to 8,541.33, 12,813.53 and 3,863.54

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Solution

The fourth proportional to 8,541.33, 12,813.53 and 3,863.54 is: 5,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.33 : 12,813.53 = 3,863.54 : x
  2. Step 2: Convert to fraction form
    8,541.33/12,813.53 = 3,863.54/x
  3. Step 3: Cross multiply
    8,541.33x = 12,813.53 × 3,863.54
  4. Step 4: Simplify right side
    8,541.33x = 49,505,585.70
  5. Step 5: Solve for x
    x = 49,505,585.70/8,541.33
  6. Step 6: Final answer
    x = 5,796.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.