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Finding the Fourth Proportional to 11,954.26, 17,910.88 and 6,688.14

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Solution

The fourth proportional to 11,954.26, 17,910.88 and 6,688.14 is: 10,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.26 : 17,910.88 = 6,688.14 : x
  2. Step 2: Convert to fraction form
    11,954.26/17,910.88 = 6,688.14/x
  3. Step 3: Cross multiply
    11,954.26x = 17,910.88 × 6,688.14
  4. Step 4: Simplify right side
    11,954.26x = 119,790,472.96
  5. Step 5: Solve for x
    x = 119,790,472.96/11,954.26
  6. Step 6: Final answer
    x = 10,020.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.