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Finding the Fourth Proportional to 11,744.67, 16,207.74 and 6,439.53

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Solution

The fourth proportional to 11,744.67, 16,207.74 and 6,439.53 is: 8,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.67 : 16,207.74 = 6,439.53 : x
  2. Step 2: Convert to fraction form
    11,744.67/16,207.74 = 6,439.53/x
  3. Step 3: Cross multiply
    11,744.67x = 16,207.74 × 6,439.53
  4. Step 4: Simplify right side
    11,744.67x = 104,370,227.96
  5. Step 5: Solve for x
    x = 104,370,227.96/11,744.67
  6. Step 6: Final answer
    x = 8,886.60

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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.