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Finding the Fourth Proportional to 11,806.14, 17,711.94 and 4,014.96

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Solution

The fourth proportional to 11,806.14, 17,711.94 and 4,014.96 is: 6,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.14 : 17,711.94 = 4,014.96 : x
  2. Step 2: Convert to fraction form
    11,806.14/17,711.94 = 4,014.96/x
  3. Step 3: Cross multiply
    11,806.14x = 17,711.94 × 4,014.96
  4. Step 4: Simplify right side
    11,806.14x = 71,112,730.62
  5. Step 5: Solve for x
    x = 71,112,730.62/11,806.14
  6. Step 6: Final answer
    x = 6,023.37

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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.