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Finding the Fourth Proportional to 8,120.14, 12,179.14 and 2,854.73

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Solution

The fourth proportional to 8,120.14, 12,179.14 and 2,854.73 is: 4,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.14 : 12,179.14 = 2,854.73 : x
  2. Step 2: Convert to fraction form
    8,120.14/12,179.14 = 2,854.73/x
  3. Step 3: Cross multiply
    8,120.14x = 12,179.14 × 2,854.73
  4. Step 4: Simplify right side
    8,120.14x = 34,768,156.33
  5. Step 5: Solve for x
    x = 34,768,156.33/8,120.14
  6. Step 6: Final answer
    x = 4,281.72

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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.