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Finding the Fourth Proportional to 11,693.72, 17,520.74 and 7,067

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Solution

The fourth proportional to 11,693.72, 17,520.74 and 7,067 is: 10,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.72 : 17,520.74 = 7,067 : x
  2. Step 2: Convert to fraction form
    11,693.72/17,520.74 = 7,067/x
  3. Step 3: Cross multiply
    11,693.72x = 17,520.74 × 7,067
  4. Step 4: Simplify right side
    11,693.72x = 123,819,069.58
  5. Step 5: Solve for x
    x = 123,819,069.58/11,693.72
  6. Step 6: Final answer
    x = 10,588.51

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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.