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Finding the Fourth Proportional to 7,696.36, 11,550.78 and 3,999.64

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Solution

The fourth proportional to 7,696.36, 11,550.78 and 3,999.64 is: 6,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.36 : 11,550.78 = 3,999.64 : x
  2. Step 2: Convert to fraction form
    7,696.36/11,550.78 = 3,999.64/x
  3. Step 3: Cross multiply
    7,696.36x = 11,550.78 × 3,999.64
  4. Step 4: Simplify right side
    7,696.36x = 46,198,961.72
  5. Step 5: Solve for x
    x = 46,198,961.72/7,696.36
  6. Step 6: Final answer
    x = 6,002.70

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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.