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Finding the Fourth Proportional to 8,252.25, 12,379.41 and 2,706.17

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Solution

The fourth proportional to 8,252.25, 12,379.41 and 2,706.17 is: 4,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.25 : 12,379.41 = 2,706.17 : x
  2. Step 2: Convert to fraction form
    8,252.25/12,379.41 = 2,706.17/x
  3. Step 3: Cross multiply
    8,252.25x = 12,379.41 × 2,706.17
  4. Step 4: Simplify right side
    8,252.25x = 33,500,726.06
  5. Step 5: Solve for x
    x = 33,500,726.06/8,252.25
  6. Step 6: Final answer
    x = 4,059.59

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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.