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Finding the Fourth Proportional to 8,077.64, 12,116.46 and 2,234.25

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Solution

The fourth proportional to 8,077.64, 12,116.46 and 2,234.25 is: 3,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.64 : 12,116.46 = 2,234.25 : x
  2. Step 2: Convert to fraction form
    8,077.64/12,116.46 = 2,234.25/x
  3. Step 3: Cross multiply
    8,077.64x = 12,116.46 × 2,234.25
  4. Step 4: Simplify right side
    8,077.64x = 27,071,202.85
  5. Step 5: Solve for x
    x = 27,071,202.85/8,077.64
  6. Step 6: Final answer
    x = 3,351.38

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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.