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Finding the Fourth Proportional to 8,046.76, 12,069.20 and 3,115.96

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Solution

The fourth proportional to 8,046.76, 12,069.20 and 3,115.96 is: 4,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.76 : 12,069.20 = 3,115.96 : x
  2. Step 2: Convert to fraction form
    8,046.76/12,069.20 = 3,115.96/x
  3. Step 3: Cross multiply
    8,046.76x = 12,069.20 × 3,115.96
  4. Step 4: Simplify right side
    8,046.76x = 37,607,144.43
  5. Step 5: Solve for x
    x = 37,607,144.43/8,046.76
  6. Step 6: Final answer
    x = 4,673.58

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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.