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Finding the Fourth Proportional to 11,284.06, 16,906.92 and 7,981

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Solution

The fourth proportional to 11,284.06, 16,906.92 and 7,981 is: 11,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.06 : 16,906.92 = 7,981 : x
  2. Step 2: Convert to fraction form
    11,284.06/16,906.92 = 7,981/x
  3. Step 3: Cross multiply
    11,284.06x = 16,906.92 × 7,981
  4. Step 4: Simplify right side
    11,284.06x = 134,934,128.52
  5. Step 5: Solve for x
    x = 134,934,128.52/11,284.06
  6. Step 6: Final answer
    x = 11,957.94

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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.