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Finding the Fourth Proportional to 6,884.82, 10,327.91 and 2,203.65

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Solution

The fourth proportional to 6,884.82, 10,327.91 and 2,203.65 is: 3,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.82 : 10,327.91 = 2,203.65 : x
  2. Step 2: Convert to fraction form
    6,884.82/10,327.91 = 2,203.65/x
  3. Step 3: Cross multiply
    6,884.82x = 10,327.91 × 2,203.65
  4. Step 4: Simplify right side
    6,884.82x = 22,759,143.11
  5. Step 5: Solve for x
    x = 22,759,143.11/6,884.82
  6. Step 6: Final answer
    x = 3,305.70

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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.