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Finding the Fourth Proportional to 8,183.77, 11,293.59 and 4,457.77

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Solution

The fourth proportional to 8,183.77, 11,293.59 and 4,457.77 is: 6,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.77 : 11,293.59 = 4,457.77 : x
  2. Step 2: Convert to fraction form
    8,183.77/11,293.59 = 4,457.77/x
  3. Step 3: Cross multiply
    8,183.77x = 11,293.59 × 4,457.77
  4. Step 4: Simplify right side
    8,183.77x = 50,344,226.69
  5. Step 5: Solve for x
    x = 50,344,226.69/8,183.77
  6. Step 6: Final answer
    x = 6,151.72

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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.