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Finding the Fourth Proportional to 11,722.52, 17,584.32 and 6,524.48

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Solution

The fourth proportional to 11,722.52, 17,584.32 and 6,524.48 is: 9,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.52 : 17,584.32 = 6,524.48 : x
  2. Step 2: Convert to fraction form
    11,722.52/17,584.32 = 6,524.48/x
  3. Step 3: Cross multiply
    11,722.52x = 17,584.32 × 6,524.48
  4. Step 4: Simplify right side
    11,722.52x = 114,728,544.15
  5. Step 5: Solve for x
    x = 114,728,544.15/11,722.52
  6. Step 6: Final answer
    x = 9,787.02

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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.