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Finding the Fourth Proportional to 11,968.83, 16,517.71 and 6,934.64

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Solution

The fourth proportional to 11,968.83, 16,517.71 and 6,934.64 is: 9,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.83 : 16,517.71 = 6,934.64 : x
  2. Step 2: Convert to fraction form
    11,968.83/16,517.71 = 6,934.64/x
  3. Step 3: Cross multiply
    11,968.83x = 16,517.71 × 6,934.64
  4. Step 4: Simplify right side
    11,968.83x = 114,544,255.21
  5. Step 5: Solve for x
    x = 114,544,255.21/11,968.83
  6. Step 6: Final answer
    x = 9,570.21

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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.