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Finding the Fourth Proportional to 8,640.24, 11,920.32 and 5,657.73

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Solution

The fourth proportional to 8,640.24, 11,920.32 and 5,657.73 is: 7,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.24 : 11,920.32 = 5,657.73 : x
  2. Step 2: Convert to fraction form
    8,640.24/11,920.32 = 5,657.73/x
  3. Step 3: Cross multiply
    8,640.24x = 11,920.32 × 5,657.73
  4. Step 4: Simplify right side
    8,640.24x = 67,441,952.07
  5. Step 5: Solve for x
    x = 67,441,952.07/8,640.24
  6. Step 6: Final answer
    x = 7,805.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.