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Finding the Fourth Proportional to 11,906.30, 16,422.12 and 7,868.44

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Solution

The fourth proportional to 11,906.30, 16,422.12 and 7,868.44 is: 10,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.30 : 16,422.12 = 7,868.44 : x
  2. Step 2: Convert to fraction form
    11,906.30/16,422.12 = 7,868.44/x
  3. Step 3: Cross multiply
    11,906.30x = 16,422.12 × 7,868.44
  4. Step 4: Simplify right side
    11,906.30x = 129,216,465.89
  5. Step 5: Solve for x
    x = 129,216,465.89/11,906.30
  6. Step 6: Final answer
    x = 10,852.78

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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.