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Finding the Fourth Proportional to 11,744.25, 16,207.08 and 6,439.26

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Solution

The fourth proportional to 11,744.25, 16,207.08 and 6,439.26 is: 8,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.25 : 16,207.08 = 6,439.26 : x
  2. Step 2: Convert to fraction form
    11,744.25/16,207.08 = 6,439.26/x
  3. Step 3: Cross multiply
    11,744.25x = 16,207.08 × 6,439.26
  4. Step 4: Simplify right side
    11,744.25x = 104,361,601.96
  5. Step 5: Solve for x
    x = 104,361,601.96/11,744.25
  6. Step 6: Final answer
    x = 8,886.19

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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.