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Finding the Fourth Proportional to 7,706.14, 10,634.56 and 4,169.42

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Solution

The fourth proportional to 7,706.14, 10,634.56 and 4,169.42 is: 5,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.14 : 10,634.56 = 4,169.42 : x
  2. Step 2: Convert to fraction form
    7,706.14/10,634.56 = 4,169.42/x
  3. Step 3: Cross multiply
    7,706.14x = 10,634.56 × 4,169.42
  4. Step 4: Simplify right side
    7,706.14x = 44,339,947.16
  5. Step 5: Solve for x
    x = 44,339,947.16/7,706.14
  6. Step 6: Final answer
    x = 5,753.85

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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.