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Finding the Fourth Proportional to 12,979.29, 17,912.82 and 7,946.90

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Solution

The fourth proportional to 12,979.29, 17,912.82 and 7,946.90 is: 10,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,979.29 : 17,912.82 = 7,946.90 : x
  2. Step 2: Convert to fraction form
    12,979.29/17,912.82 = 7,946.90/x
  3. Step 3: Cross multiply
    12,979.29x = 17,912.82 × 7,946.90
  4. Step 4: Simplify right side
    12,979.29x = 142,351,299.69
  5. Step 5: Solve for x
    x = 142,351,299.69/12,979.29
  6. Step 6: Final answer
    x = 10,967.57

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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.