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Finding the Fourth Proportional to 11,984.62, 16,538.94 and 6,949.18

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Solution

The fourth proportional to 11,984.62, 16,538.94 and 6,949.18 is: 9,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.62 : 16,538.94 = 6,949.18 : x
  2. Step 2: Convert to fraction form
    11,984.62/16,538.94 = 6,949.18/x
  3. Step 3: Cross multiply
    11,984.62x = 16,538.94 × 6,949.18
  4. Step 4: Simplify right side
    11,984.62x = 114,932,071.07
  5. Step 5: Solve for x
    x = 114,932,071.07/11,984.62
  6. Step 6: Final answer
    x = 9,589.96

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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.