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Finding the Fourth Proportional to 11,707.94, 16,149.57 and 8,169.86

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Solution

The fourth proportional to 11,707.94, 16,149.57 and 8,169.86 is: 11,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.94 : 16,149.57 = 8,169.86 : x
  2. Step 2: Convert to fraction form
    11,707.94/16,149.57 = 8,169.86/x
  3. Step 3: Cross multiply
    11,707.94x = 16,149.57 × 8,169.86
  4. Step 4: Simplify right side
    11,707.94x = 131,939,725.96
  5. Step 5: Solve for x
    x = 131,939,725.96/11,707.94
  6. Step 6: Final answer
    x = 11,269.25

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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.