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Finding the Fourth Proportional to 8,252.46, 12,378.80 and 2,706.23

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Solution

The fourth proportional to 8,252.46, 12,378.80 and 2,706.23 is: 4,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.46 : 12,378.80 = 2,706.23 : x
  2. Step 2: Convert to fraction form
    8,252.46/12,378.80 = 2,706.23/x
  3. Step 3: Cross multiply
    8,252.46x = 12,378.80 × 2,706.23
  4. Step 4: Simplify right side
    8,252.46x = 33,499,917.64
  5. Step 5: Solve for x
    x = 33,499,917.64/8,252.46
  6. Step 6: Final answer
    x = 4,059.39

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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.