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Finding the Fourth Proportional to 11,546.82, 17,320.14 and 5,997.30

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Solution

The fourth proportional to 11,546.82, 17,320.14 and 5,997.30 is: 8,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.82 : 17,320.14 = 5,997.30 : x
  2. Step 2: Convert to fraction form
    11,546.82/17,320.14 = 5,997.30/x
  3. Step 3: Cross multiply
    11,546.82x = 17,320.14 × 5,997.30
  4. Step 4: Simplify right side
    11,546.82x = 103,874,075.62
  5. Step 5: Solve for x
    x = 103,874,075.62/11,546.82
  6. Step 6: Final answer
    x = 8,995.90

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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.