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Finding the Fourth Proportional to 7,696.77, 11,546.70 and 2,766.81

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Solution

The fourth proportional to 7,696.77, 11,546.70 and 2,766.81 is: 4,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.77 : 11,546.70 = 2,766.81 : x
  2. Step 2: Convert to fraction form
    7,696.77/11,546.70 = 2,766.81/x
  3. Step 3: Cross multiply
    7,696.77x = 11,546.70 × 2,766.81
  4. Step 4: Simplify right side
    7,696.77x = 31,947,525.03
  5. Step 5: Solve for x
    x = 31,947,525.03/7,696.77
  6. Step 6: Final answer
    x = 4,150.77

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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.