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Finding the Fourth Proportional to 12,768.28, 17,620.62 and 7,733.44

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Solution

The fourth proportional to 12,768.28, 17,620.62 and 7,733.44 is: 10,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.28 : 17,620.62 = 7,733.44 : x
  2. Step 2: Convert to fraction form
    12,768.28/17,620.62 = 7,733.44/x
  3. Step 3: Cross multiply
    12,768.28x = 17,620.62 × 7,733.44
  4. Step 4: Simplify right side
    12,768.28x = 136,268,007.53
  5. Step 5: Solve for x
    x = 136,268,007.53/12,768.28
  6. Step 6: Final answer
    x = 10,672.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.