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Finding the Fourth Proportional to 11,684.85, 16,119.77 and 6,967.41

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Solution

The fourth proportional to 11,684.85, 16,119.77 and 6,967.41 is: 9,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.85 : 16,119.77 = 6,967.41 : x
  2. Step 2: Convert to fraction form
    11,684.85/16,119.77 = 6,967.41/x
  3. Step 3: Cross multiply
    11,684.85x = 16,119.77 × 6,967.41
  4. Step 4: Simplify right side
    11,684.85x = 112,313,046.70
  5. Step 5: Solve for x
    x = 112,313,046.70/11,684.85
  6. Step 6: Final answer
    x = 9,611.85

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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.