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Finding the Fourth Proportional to 8,197.31, 12,296.00 and 3,003.19

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Solution

The fourth proportional to 8,197.31, 12,296.00 and 3,003.19 is: 4,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.31 : 12,296.00 = 3,003.19 : x
  2. Step 2: Convert to fraction form
    8,197.31/12,296.00 = 3,003.19/x
  3. Step 3: Cross multiply
    8,197.31x = 12,296.00 × 3,003.19
  4. Step 4: Simplify right side
    8,197.31x = 36,927,201.01
  5. Step 5: Solve for x
    x = 36,927,201.01/8,197.31
  6. Step 6: Final answer
    x = 4,504.79

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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.