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Finding the Fourth Proportional to 8,380.89, 11,567.25 and 5,548.41

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Solution

The fourth proportional to 8,380.89, 11,567.25 and 5,548.41 is: 7,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.89 : 11,567.25 = 5,548.41 : x
  2. Step 2: Convert to fraction form
    8,380.89/11,567.25 = 5,548.41/x
  3. Step 3: Cross multiply
    8,380.89x = 11,567.25 × 5,548.41
  4. Step 4: Simplify right side
    8,380.89x = 64,179,845.57
  5. Step 5: Solve for x
    x = 64,179,845.57/8,380.89
  6. Step 6: Final answer
    x = 7,657.88

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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.