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Finding the Fourth Proportional to 11,727.15, 16,183.65 and 6,421.87

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Solution

The fourth proportional to 11,727.15, 16,183.65 and 6,421.87 is: 8,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.15 : 16,183.65 = 6,421.87 : x
  2. Step 2: Convert to fraction form
    11,727.15/16,183.65 = 6,421.87/x
  3. Step 3: Cross multiply
    11,727.15x = 16,183.65 × 6,421.87
  4. Step 4: Simplify right side
    11,727.15x = 103,929,296.43
  5. Step 5: Solve for x
    x = 103,929,296.43/11,727.15
  6. Step 6: Final answer
    x = 8,862.28

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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.