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Finding the Fourth Proportional to 11,591.52, 17,372.16 and 4,662.24

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Solution

The fourth proportional to 11,591.52, 17,372.16 and 4,662.24 is: 6,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.52 : 17,372.16 = 4,662.24 : x
  2. Step 2: Convert to fraction form
    11,591.52/17,372.16 = 4,662.24/x
  3. Step 3: Cross multiply
    11,591.52x = 17,372.16 × 4,662.24
  4. Step 4: Simplify right side
    11,591.52x = 80,993,179.24
  5. Step 5: Solve for x
    x = 80,993,179.24/11,591.52
  6. Step 6: Final answer
    x = 6,987.28

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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.