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Finding the Fourth Proportional to 8,078.16, 12,116.32 and 2,234

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Solution

The fourth proportional to 8,078.16, 12,116.32 and 2,234 is: 3,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.16 : 12,116.32 = 2,234 : x
  2. Step 2: Convert to fraction form
    8,078.16/12,116.32 = 2,234/x
  3. Step 3: Cross multiply
    8,078.16x = 12,116.32 × 2,234
  4. Step 4: Simplify right side
    8,078.16x = 27,067,858.88
  5. Step 5: Solve for x
    x = 27,067,858.88/8,078.16
  6. Step 6: Final answer
    x = 3,350.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.