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Finding the Fourth Proportional to 11,817.71, 17,729.64 and 4,422.75

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Solution

The fourth proportional to 11,817.71, 17,729.64 and 4,422.75 is: 6,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.71 : 17,729.64 = 4,422.75 : x
  2. Step 2: Convert to fraction form
    11,817.71/17,729.64 = 4,422.75/x
  3. Step 3: Cross multiply
    11,817.71x = 17,729.64 × 4,422.75
  4. Step 4: Simplify right side
    11,817.71x = 78,413,765.31
  5. Step 5: Solve for x
    x = 78,413,765.31/11,817.71
  6. Step 6: Final answer
    x = 6,635.28

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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.