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Finding the Fourth Proportional to 6,906.90, 10,348.20 and 5,667.60

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Solution

The fourth proportional to 6,906.90, 10,348.20 and 5,667.60 is: 8,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.90 : 10,348.20 = 5,667.60 : x
  2. Step 2: Convert to fraction form
    6,906.90/10,348.20 = 5,667.60/x
  3. Step 3: Cross multiply
    6,906.90x = 10,348.20 × 5,667.60
  4. Step 4: Simplify right side
    6,906.90x = 58,649,458.32
  5. Step 5: Solve for x
    x = 58,649,458.32/6,906.90
  6. Step 6: Final answer
    x = 8,491.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.