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Finding the Fourth Proportional to 11,644.25, 17,461.02 and 3,745.31

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Solution

The fourth proportional to 11,644.25, 17,461.02 and 3,745.31 is: 5,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.25 : 17,461.02 = 3,745.31 : x
  2. Step 2: Convert to fraction form
    11,644.25/17,461.02 = 3,745.31/x
  3. Step 3: Cross multiply
    11,644.25x = 17,461.02 × 3,745.31
  4. Step 4: Simplify right side
    11,644.25x = 65,396,845.51
  5. Step 5: Solve for x
    x = 65,396,845.51/11,644.25
  6. Step 6: Final answer
    x = 5,616.24

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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.