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Finding the Fourth Proportional to 8,432.56, 11,634.78 and 5,447.44

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Solution

The fourth proportional to 8,432.56, 11,634.78 and 5,447.44 is: 7,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.56 : 11,634.78 = 5,447.44 : x
  2. Step 2: Convert to fraction form
    8,432.56/11,634.78 = 5,447.44/x
  3. Step 3: Cross multiply
    8,432.56x = 11,634.78 × 5,447.44
  4. Step 4: Simplify right side
    8,432.56x = 63,379,765.96
  5. Step 5: Solve for x
    x = 63,379,765.96/8,432.56
  6. Step 6: Final answer
    x = 7,516.08

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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.