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Finding the Fourth Proportional to 11,892.49, 16,411.83 and 6,514.85

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Solution

The fourth proportional to 11,892.49, 16,411.83 and 6,514.85 is: 8,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.49 : 16,411.83 = 6,514.85 : x
  2. Step 2: Convert to fraction form
    11,892.49/16,411.83 = 6,514.85/x
  3. Step 3: Cross multiply
    11,892.49x = 16,411.83 × 6,514.85
  4. Step 4: Simplify right side
    11,892.49x = 106,920,528.62
  5. Step 5: Solve for x
    x = 106,920,528.62/11,892.49
  6. Step 6: Final answer
    x = 8,990.59

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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.