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Finding the Fourth Proportional to 6,872.52, 10,308.78 and 3,813.96

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Solution

The fourth proportional to 6,872.52, 10,308.78 and 3,813.96 is: 5,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.52 : 10,308.78 = 3,813.96 : x
  2. Step 2: Convert to fraction form
    6,872.52/10,308.78 = 3,813.96/x
  3. Step 3: Cross multiply
    6,872.52x = 10,308.78 × 3,813.96
  4. Step 4: Simplify right side
    6,872.52x = 39,317,274.57
  5. Step 5: Solve for x
    x = 39,317,274.57/6,872.52
  6. Step 6: Final answer
    x = 5,720.94

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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.