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Finding the Fourth Proportional to 11,970.27, 16,517.39 and 6,934.59

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Solution

The fourth proportional to 11,970.27, 16,517.39 and 6,934.59 is: 9,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.27 : 16,517.39 = 6,934.59 : x
  2. Step 2: Convert to fraction form
    11,970.27/16,517.39 = 6,934.59/x
  3. Step 3: Cross multiply
    11,970.27x = 16,517.39 × 6,934.59
  4. Step 4: Simplify right side
    11,970.27x = 114,541,292.85
  5. Step 5: Solve for x
    x = 114,541,292.85/11,970.27
  6. Step 6: Final answer
    x = 9,568.81

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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.