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Finding the Fourth Proportional to 11,644.82, 17,467.23 and 3,853.63

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Solution

The fourth proportional to 11,644.82, 17,467.23 and 3,853.63 is: 5,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.82 : 17,467.23 = 3,853.63 : x
  2. Step 2: Convert to fraction form
    11,644.82/17,467.23 = 3,853.63/x
  3. Step 3: Cross multiply
    11,644.82x = 17,467.23 × 3,853.63
  4. Step 4: Simplify right side
    11,644.82x = 67,312,241.54
  5. Step 5: Solve for x
    x = 67,312,241.54/11,644.82
  6. Step 6: Final answer
    x = 5,780.45

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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.