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Finding the Fourth Proportional to 11,513.57, 17,272.31 and 3,614.56

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Solution

The fourth proportional to 11,513.57, 17,272.31 and 3,614.56 is: 5,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.57 : 17,272.31 = 3,614.56 : x
  2. Step 2: Convert to fraction form
    11,513.57/17,272.31 = 3,614.56/x
  3. Step 3: Cross multiply
    11,513.57x = 17,272.31 × 3,614.56
  4. Step 4: Simplify right side
    11,513.57x = 62,431,739.58
  5. Step 5: Solve for x
    x = 62,431,739.58/11,513.57
  6. Step 6: Final answer
    x = 5,422.45

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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.