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Finding the Fourth Proportional to 8,202.12, 11,306.83 and 5,804.65

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Solution

The fourth proportional to 8,202.12, 11,306.83 and 5,804.65 is: 8,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.12 : 11,306.83 = 5,804.65 : x
  2. Step 2: Convert to fraction form
    8,202.12/11,306.83 = 5,804.65/x
  3. Step 3: Cross multiply
    8,202.12x = 11,306.83 × 5,804.65
  4. Step 4: Simplify right side
    8,202.12x = 65,632,105.20
  5. Step 5: Solve for x
    x = 65,632,105.20/8,202.12
  6. Step 6: Final answer
    x = 8,001.85

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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.