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Finding the Fourth Proportional to 7,696.62, 11,546.44 and 2,432.43

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Solution

The fourth proportional to 7,696.62, 11,546.44 and 2,432.43 is: 3,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.62 : 11,546.44 = 2,432.43 : x
  2. Step 2: Convert to fraction form
    7,696.62/11,546.44 = 2,432.43/x
  3. Step 3: Cross multiply
    7,696.62x = 11,546.44 × 2,432.43
  4. Step 4: Simplify right side
    7,696.62x = 28,085,900.97
  5. Step 5: Solve for x
    x = 28,085,900.97/7,696.62
  6. Step 6: Final answer
    x = 3,649.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.