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Finding the Fourth Proportional to 11,833.09, 16,329.12 and 6,793.77

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Solution

The fourth proportional to 11,833.09, 16,329.12 and 6,793.77 is: 9,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.09 : 16,329.12 = 6,793.77 : x
  2. Step 2: Convert to fraction form
    11,833.09/16,329.12 = 6,793.77/x
  3. Step 3: Cross multiply
    11,833.09x = 16,329.12 × 6,793.77
  4. Step 4: Simplify right side
    11,833.09x = 110,936,169.97
  5. Step 5: Solve for x
    x = 110,936,169.97/11,833.09
  6. Step 6: Final answer
    x = 9,375.08

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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.