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Finding the Fourth Proportional to 8,602.96, 12,892.26 and 3,667.60

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Solution

The fourth proportional to 8,602.96, 12,892.26 and 3,667.60 is: 5,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.96 : 12,892.26 = 3,667.60 : x
  2. Step 2: Convert to fraction form
    8,602.96/12,892.26 = 3,667.60/x
  3. Step 3: Cross multiply
    8,602.96x = 12,892.26 × 3,667.60
  4. Step 4: Simplify right side
    8,602.96x = 47,283,652.78
  5. Step 5: Solve for x
    x = 47,283,652.78/8,602.96
  6. Step 6: Final answer
    x = 5,496.21

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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.