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Finding the Fourth Proportional to 11,644.23, 17,467.71 and 4,252.17

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Solution

The fourth proportional to 11,644.23, 17,467.71 and 4,252.17 is: 6,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.23 : 17,467.71 = 4,252.17 : x
  2. Step 2: Convert to fraction form
    11,644.23/17,467.71 = 4,252.17/x
  3. Step 3: Cross multiply
    11,644.23x = 17,467.71 × 4,252.17
  4. Step 4: Simplify right side
    11,644.23x = 74,275,672.43
  5. Step 5: Solve for x
    x = 74,275,672.43/11,644.23
  6. Step 6: Final answer
    x = 6,378.75

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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.