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Finding the Fourth Proportional to 7,706.41, 10,634.87 and 4,169.62

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Solution

The fourth proportional to 7,706.41, 10,634.87 and 4,169.62 is: 5,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.41 : 10,634.87 = 4,169.62 : x
  2. Step 2: Convert to fraction form
    7,706.41/10,634.87 = 4,169.62/x
  3. Step 3: Cross multiply
    7,706.41x = 10,634.87 × 4,169.62
  4. Step 4: Simplify right side
    7,706.41x = 44,343,348.73
  5. Step 5: Solve for x
    x = 44,343,348.73/7,706.41
  6. Step 6: Final answer
    x = 5,754.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.