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Finding the Fourth Proportional to 8,183.34, 11,293.02 and 4,647.69

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Solution

The fourth proportional to 8,183.34, 11,293.02 and 4,647.69 is: 6,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.34 : 11,293.02 = 4,647.69 : x
  2. Step 2: Convert to fraction form
    8,183.34/11,293.02 = 4,647.69/x
  3. Step 3: Cross multiply
    8,183.34x = 11,293.02 × 4,647.69
  4. Step 4: Simplify right side
    8,183.34x = 52,486,456.12
  5. Step 5: Solve for x
    x = 52,486,456.12/8,183.34
  6. Step 6: Final answer
    x = 6,413.82

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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.