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Finding the Fourth Proportional to 8,147.68, 12,221.44 and 3,219.60

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Solution

The fourth proportional to 8,147.68, 12,221.44 and 3,219.60 is: 4,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.68 : 12,221.44 = 3,219.60 : x
  2. Step 2: Convert to fraction form
    8,147.68/12,221.44 = 3,219.60/x
  3. Step 3: Cross multiply
    8,147.68x = 12,221.44 × 3,219.60
  4. Step 4: Simplify right side
    8,147.68x = 39,348,148.22
  5. Step 5: Solve for x
    x = 39,348,148.22/8,147.68
  6. Step 6: Final answer
    x = 4,829.37

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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.