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Finding the Fourth Proportional to 7,696.50, 11,530.57 and 6,866.32

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Solution

The fourth proportional to 7,696.50, 11,530.57 and 6,866.32 is: 10,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.50 : 11,530.57 = 6,866.32 : x
  2. Step 2: Convert to fraction form
    7,696.50/11,530.57 = 6,866.32/x
  3. Step 3: Cross multiply
    7,696.50x = 11,530.57 × 6,866.32
  4. Step 4: Simplify right side
    7,696.50x = 79,172,583.40
  5. Step 5: Solve for x
    x = 79,172,583.40/7,696.50
  6. Step 6: Final answer
    x = 10,286.83

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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.