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Finding the Fourth Proportional to 11,464.20, 17,188.20 and 5,227.20

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Solution

The fourth proportional to 11,464.20, 17,188.20 and 5,227.20 is: 7,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.20 : 17,188.20 = 5,227.20 : x
  2. Step 2: Convert to fraction form
    11,464.20/17,188.20 = 5,227.20/x
  3. Step 3: Cross multiply
    11,464.20x = 17,188.20 × 5,227.20
  4. Step 4: Simplify right side
    11,464.20x = 89,846,159.04
  5. Step 5: Solve for x
    x = 89,846,159.04/11,464.20
  6. Step 6: Final answer
    x = 7,837.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.