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Finding the Fourth Proportional to 11,464.92, 17,198.28 and 4,891.14

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Solution

The fourth proportional to 11,464.92, 17,198.28 and 4,891.14 is: 7,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.92 : 17,198.28 = 4,891.14 : x
  2. Step 2: Convert to fraction form
    11,464.92/17,198.28 = 4,891.14/x
  3. Step 3: Cross multiply
    11,464.92x = 17,198.28 × 4,891.14
  4. Step 4: Simplify right side
    11,464.92x = 84,119,195.24
  5. Step 5: Solve for x
    x = 84,119,195.24/11,464.92
  6. Step 6: Final answer
    x = 7,337.09

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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.