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Finding the Fourth Proportional to 8,023.98, 12,035.94 and 2,180.60

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Solution

The fourth proportional to 8,023.98, 12,035.94 and 2,180.60 is: 3,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.98 : 12,035.94 = 2,180.60 : x
  2. Step 2: Convert to fraction form
    8,023.98/12,035.94 = 2,180.60/x
  3. Step 3: Cross multiply
    8,023.98x = 12,035.94 × 2,180.60
  4. Step 4: Simplify right side
    8,023.98x = 26,245,510.58
  5. Step 5: Solve for x
    x = 26,245,510.58/8,023.98
  6. Step 6: Final answer
    x = 3,270.88

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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.