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Finding the Fourth Proportional to 11,910.54, 16,433.82 and 7,933.80

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Solution

The fourth proportional to 11,910.54, 16,433.82 and 7,933.80 is: 10,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.54 : 16,433.82 = 7,933.80 : x
  2. Step 2: Convert to fraction form
    11,910.54/16,433.82 = 7,933.80/x
  3. Step 3: Cross multiply
    11,910.54x = 16,433.82 × 7,933.80
  4. Step 4: Simplify right side
    11,910.54x = 130,382,641.12
  5. Step 5: Solve for x
    x = 130,382,641.12/11,910.54
  6. Step 6: Final answer
    x = 10,946.83

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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.