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Finding the Fourth Proportional to 7,696.72, 11,530.95 and 6,866.56

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Solution

The fourth proportional to 7,696.72, 11,530.95 and 6,866.56 is: 10,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.72 : 11,530.95 = 6,866.56 : x
  2. Step 2: Convert to fraction form
    7,696.72/11,530.95 = 6,866.56/x
  3. Step 3: Cross multiply
    7,696.72x = 11,530.95 × 6,866.56
  4. Step 4: Simplify right side
    7,696.72x = 79,177,960.03
  5. Step 5: Solve for x
    x = 79,177,960.03/7,696.72
  6. Step 6: Final answer
    x = 10,287.23

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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.