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Finding the Fourth Proportional to 8,194.76, 12,292.15 and 3,511.73

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Solution

The fourth proportional to 8,194.76, 12,292.15 and 3,511.73 is: 5,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.76 : 12,292.15 = 3,511.73 : x
  2. Step 2: Convert to fraction form
    8,194.76/12,292.15 = 3,511.73/x
  3. Step 3: Cross multiply
    8,194.76x = 12,292.15 × 3,511.73
  4. Step 4: Simplify right side
    8,194.76x = 43,166,687.77
  5. Step 5: Solve for x
    x = 43,166,687.77/8,194.76
  6. Step 6: Final answer
    x = 5,267.60

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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.