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Finding the Fourth Proportional to 11,744.53, 16,207.50 and 6,439.44

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Solution

The fourth proportional to 11,744.53, 16,207.50 and 6,439.44 is: 8,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.53 : 16,207.50 = 6,439.44 : x
  2. Step 2: Convert to fraction form
    11,744.53/16,207.50 = 6,439.44/x
  3. Step 3: Cross multiply
    11,744.53x = 16,207.50 × 6,439.44
  4. Step 4: Simplify right side
    11,744.53x = 104,367,223.80
  5. Step 5: Solve for x
    x = 104,367,223.80/11,744.53
  6. Step 6: Final answer
    x = 8,886.45

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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.