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Finding the Fourth Proportional to 11,662.29, 17,493.37 and 2,897.20

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Solution

The fourth proportional to 11,662.29, 17,493.37 and 2,897.20 is: 4,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.29 : 17,493.37 = 2,897.20 : x
  2. Step 2: Convert to fraction form
    11,662.29/17,493.37 = 2,897.20/x
  3. Step 3: Cross multiply
    11,662.29x = 17,493.37 × 2,897.20
  4. Step 4: Simplify right side
    11,662.29x = 50,681,791.56
  5. Step 5: Solve for x
    x = 50,681,791.56/11,662.29
  6. Step 6: Final answer
    x = 4,345.78

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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.