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Finding the Fourth Proportional to 8,128.06, 12,189.99 and 3,197.73

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Solution

The fourth proportional to 8,128.06, 12,189.99 and 3,197.73 is: 4,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.06 : 12,189.99 = 3,197.73 : x
  2. Step 2: Convert to fraction form
    8,128.06/12,189.99 = 3,197.73/x
  3. Step 3: Cross multiply
    8,128.06x = 12,189.99 × 3,197.73
  4. Step 4: Simplify right side
    8,128.06x = 38,980,296.72
  5. Step 5: Solve for x
    x = 38,980,296.72/8,128.06
  6. Step 6: Final answer
    x = 4,795.77

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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.