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Finding the Fourth Proportional to 10,311.54, 14,243.49 and 7,906.92

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Solution

The fourth proportional to 10,311.54, 14,243.49 and 7,906.92 is: 10,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.54 : 14,243.49 = 7,906.92 : x
  2. Step 2: Convert to fraction form
    10,311.54/14,243.49 = 7,906.92/x
  3. Step 3: Cross multiply
    10,311.54x = 14,243.49 × 7,906.92
  4. Step 4: Simplify right side
    10,311.54x = 112,622,135.95
  5. Step 5: Solve for x
    x = 112,622,135.95/10,311.54
  6. Step 6: Final answer
    x = 10,921.95

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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.