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Finding the Fourth Proportional to 11,744.78, 16,207.79 and 6,439.48

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Solution

The fourth proportional to 11,744.78, 16,207.79 and 6,439.48 is: 8,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.78 : 16,207.79 = 6,439.48 : x
  2. Step 2: Convert to fraction form
    11,744.78/16,207.79 = 6,439.48/x
  3. Step 3: Cross multiply
    11,744.78x = 16,207.79 × 6,439.48
  4. Step 4: Simplify right side
    11,744.78x = 104,369,739.55
  5. Step 5: Solve for x
    x = 104,369,739.55/11,744.78
  6. Step 6: Final answer
    x = 8,886.48

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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.