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Finding the Fourth Proportional to 12,122, 16,728.56 and 7,930.25

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Solution

The fourth proportional to 12,122, 16,728.56 and 7,930.25 is: 10,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122 : 16,728.56 = 7,930.25 : x
  2. Step 2: Convert to fraction form
    12,122/16,728.56 = 7,930.25/x
  3. Step 3: Cross multiply
    12,122x = 16,728.56 × 7,930.25
  4. Step 4: Simplify right side
    12,122x = 132,661,662.94
  5. Step 5: Solve for x
    x = 132,661,662.94/12,122
  6. Step 6: Final answer
    x = 10,943.88

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