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Finding the Fourth Proportional to 11,727.86, 16,167.53 and 8,364.80

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Solution

The fourth proportional to 11,727.86, 16,167.53 and 8,364.80 is: 11,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.86 : 16,167.53 = 8,364.80 : x
  2. Step 2: Convert to fraction form
    11,727.86/16,167.53 = 8,364.80/x
  3. Step 3: Cross multiply
    11,727.86x = 16,167.53 × 8,364.80
  4. Step 4: Simplify right side
    11,727.86x = 135,238,216.27
  5. Step 5: Solve for x
    x = 135,238,216.27/11,727.86
  6. Step 6: Final answer
    x = 11,531.37

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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.