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Finding the Fourth Proportional to 7,696.26, 11,546.20 and 2,502.12

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Solution

The fourth proportional to 7,696.26, 11,546.20 and 2,502.12 is: 3,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.26 : 11,546.20 = 2,502.12 : x
  2. Step 2: Convert to fraction form
    7,696.26/11,546.20 = 2,502.12/x
  3. Step 3: Cross multiply
    7,696.26x = 11,546.20 × 2,502.12
  4. Step 4: Simplify right side
    7,696.26x = 28,889,977.94
  5. Step 5: Solve for x
    x = 28,889,977.94/7,696.26
  6. Step 6: Final answer
    x = 3,753.77

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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.