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Finding the Fourth Proportional to 11,817.57, 17,729.46 and 4,422.63

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Solution

The fourth proportional to 11,817.57, 17,729.46 and 4,422.63 is: 6,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.57 : 17,729.46 = 4,422.63 : x
  2. Step 2: Convert to fraction form
    11,817.57/17,729.46 = 4,422.63/x
  3. Step 3: Cross multiply
    11,817.57x = 17,729.46 × 4,422.63
  4. Step 4: Simplify right side
    11,817.57x = 78,410,841.68
  5. Step 5: Solve for x
    x = 78,410,841.68/11,817.57
  6. Step 6: Final answer
    x = 6,635.11

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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.