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Finding the Fourth Proportional to 8,454.14, 12,678.79 and 3,258.82

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Solution

The fourth proportional to 8,454.14, 12,678.79 and 3,258.82 is: 4,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.14 : 12,678.79 = 3,258.82 : x
  2. Step 2: Convert to fraction form
    8,454.14/12,678.79 = 3,258.82/x
  3. Step 3: Cross multiply
    8,454.14x = 12,678.79 × 3,258.82
  4. Step 4: Simplify right side
    8,454.14x = 41,317,894.43
  5. Step 5: Solve for x
    x = 41,317,894.43/8,454.14
  6. Step 6: Final answer
    x = 4,887.30

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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.