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Finding the Fourth Proportional to 8,202.12, 11,318.82 and 4,475.88

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Solution

The fourth proportional to 8,202.12, 11,318.82 and 4,475.88 is: 6,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.12 : 11,318.82 = 4,475.88 : x
  2. Step 2: Convert to fraction form
    8,202.12/11,318.82 = 4,475.88/x
  3. Step 3: Cross multiply
    8,202.12x = 11,318.82 × 4,475.88
  4. Step 4: Simplify right side
    8,202.12x = 50,661,680.06
  5. Step 5: Solve for x
    x = 50,661,680.06/8,202.12
  6. Step 6: Final answer
    x = 6,176.66

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