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Finding the Fourth Proportional to 11,542.64, 17,310.24 and 3,749.63

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Solution

The fourth proportional to 11,542.64, 17,310.24 and 3,749.63 is: 5,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.64 : 17,310.24 = 3,749.63 : x
  2. Step 2: Convert to fraction form
    11,542.64/17,310.24 = 3,749.63/x
  3. Step 3: Cross multiply
    11,542.64x = 17,310.24 × 3,749.63
  4. Step 4: Simplify right side
    11,542.64x = 64,906,908.66
  5. Step 5: Solve for x
    x = 64,906,908.66/11,542.64
  6. Step 6: Final answer
    x = 5,623.23

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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.