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Finding the Fourth Proportional to 8,181.58, 12,272.49 and 2,258.41

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Solution

The fourth proportional to 8,181.58, 12,272.49 and 2,258.41 is: 3,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.58 : 12,272.49 = 2,258.41 : x
  2. Step 2: Convert to fraction form
    8,181.58/12,272.49 = 2,258.41/x
  3. Step 3: Cross multiply
    8,181.58x = 12,272.49 × 2,258.41
  4. Step 4: Simplify right side
    8,181.58x = 27,716,314.14
  5. Step 5: Solve for x
    x = 27,716,314.14/8,181.58
  6. Step 6: Final answer
    x = 3,387.65

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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.