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Finding the Fourth Proportional to 8,046.32, 12,069.49 and 2,202.98

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Solution

The fourth proportional to 8,046.32, 12,069.49 and 2,202.98 is: 3,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.32 : 12,069.49 = 2,202.98 : x
  2. Step 2: Convert to fraction form
    8,046.32/12,069.49 = 2,202.98/x
  3. Step 3: Cross multiply
    8,046.32x = 12,069.49 × 2,202.98
  4. Step 4: Simplify right side
    8,046.32x = 26,588,845.08
  5. Step 5: Solve for x
    x = 26,588,845.08/8,046.32
  6. Step 6: Final answer
    x = 3,304.47

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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.