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Finding the Fourth Proportional to 8,202.08, 11,317.38 and 4,845.44

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Solution

The fourth proportional to 8,202.08, 11,317.38 and 4,845.44 is: 6,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.08 : 11,317.38 = 4,845.44 : x
  2. Step 2: Convert to fraction form
    8,202.08/11,317.38 = 4,845.44/x
  3. Step 3: Cross multiply
    8,202.08x = 11,317.38 × 4,845.44
  4. Step 4: Simplify right side
    8,202.08x = 54,837,685.75
  5. Step 5: Solve for x
    x = 54,837,685.75/8,202.08
  6. Step 6: Final answer
    x = 6,685.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.