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Finding the Fourth Proportional to 11,976.23, 16,522 and 8,391.85

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Solution

The fourth proportional to 11,976.23, 16,522 and 8,391.85 is: 11,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.23 : 16,522 = 8,391.85 : x
  2. Step 2: Convert to fraction form
    11,976.23/16,522 = 8,391.85/x
  3. Step 3: Cross multiply
    11,976.23x = 16,522 × 8,391.85
  4. Step 4: Simplify right side
    11,976.23x = 138,650,145.70
  5. Step 5: Solve for x
    x = 138,650,145.70/11,976.23
  6. Step 6: Final answer
    x = 11,577.11

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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.