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Finding the Fourth Proportional to 8,183.81, 11,293.67 and 4,457.81

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Solution

The fourth proportional to 8,183.81, 11,293.67 and 4,457.81 is: 6,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.81 : 11,293.67 = 4,457.81 : x
  2. Step 2: Convert to fraction form
    8,183.81/11,293.67 = 4,457.81/x
  3. Step 3: Cross multiply
    8,183.81x = 11,293.67 × 4,457.81
  4. Step 4: Simplify right side
    8,183.81x = 50,345,041.01
  5. Step 5: Solve for x
    x = 50,345,041.01/8,183.81
  6. Step 6: Final answer
    x = 6,151.78

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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.