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Finding the Fourth Proportional to 8,183.76, 11,293.83 and 4,647.12

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Solution

The fourth proportional to 8,183.76, 11,293.83 and 4,647.12 is: 6,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.76 : 11,293.83 = 4,647.12 : x
  2. Step 2: Convert to fraction form
    8,183.76/11,293.83 = 4,647.12/x
  3. Step 3: Cross multiply
    8,183.76x = 11,293.83 × 4,647.12
  4. Step 4: Simplify right side
    8,183.76x = 52,483,783.27
  5. Step 5: Solve for x
    x = 52,483,783.27/8,183.76
  6. Step 6: Final answer
    x = 6,413.16

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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.