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Finding the Fourth Proportional to 8,693.92, 11,993.16 and 5,546.80

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Solution

The fourth proportional to 8,693.92, 11,993.16 and 5,546.80 is: 7,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.92 : 11,993.16 = 5,546.80 : x
  2. Step 2: Convert to fraction form
    8,693.92/11,993.16 = 5,546.80/x
  3. Step 3: Cross multiply
    8,693.92x = 11,993.16 × 5,546.80
  4. Step 4: Simplify right side
    8,693.92x = 66,523,659.89
  5. Step 5: Solve for x
    x = 66,523,659.89/8,693.92
  6. Step 6: Final answer
    x = 7,651.75

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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.