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Finding the Fourth Proportional to 11,744.91, 16,207.96 and 6,439.61

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Solution

The fourth proportional to 11,744.91, 16,207.96 and 6,439.61 is: 8,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.91 : 16,207.96 = 6,439.61 : x
  2. Step 2: Convert to fraction form
    11,744.91/16,207.96 = 6,439.61/x
  3. Step 3: Cross multiply
    11,744.91x = 16,207.96 × 6,439.61
  4. Step 4: Simplify right side
    11,744.91x = 104,372,941.30
  5. Step 5: Solve for x
    x = 104,372,941.30/11,744.91
  6. Step 6: Final answer
    x = 8,886.65

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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.