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Finding the Fourth Proportional to 8,137.41, 12,182.86 and 7,620.73

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Solution

The fourth proportional to 8,137.41, 12,182.86 and 7,620.73 is: 11,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.41 : 12,182.86 = 7,620.73 : x
  2. Step 2: Convert to fraction form
    8,137.41/12,182.86 = 7,620.73/x
  3. Step 3: Cross multiply
    8,137.41x = 12,182.86 × 7,620.73
  4. Step 4: Simplify right side
    8,137.41x = 92,842,286.69
  5. Step 5: Solve for x
    x = 92,842,286.69/8,137.41
  6. Step 6: Final answer
    x = 11,409.32

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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.