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Finding the Fourth Proportional to 8,204.14, 11,321.74 and 4,667.60

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Solution

The fourth proportional to 8,204.14, 11,321.74 and 4,667.60 is: 6,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.14 : 11,321.74 = 4,667.60 : x
  2. Step 2: Convert to fraction form
    8,204.14/11,321.74 = 4,667.60/x
  3. Step 3: Cross multiply
    8,204.14x = 11,321.74 × 4,667.60
  4. Step 4: Simplify right side
    8,204.14x = 52,845,353.62
  5. Step 5: Solve for x
    x = 52,845,353.62/8,204.14
  6. Step 6: Final answer
    x = 6,441.30

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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.