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Finding the Fourth Proportional to 7,706.36, 10,634.78 and 4,169.57

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Solution

The fourth proportional to 7,706.36, 10,634.78 and 4,169.57 is: 5,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.36 : 10,634.78 = 4,169.57 : x
  2. Step 2: Convert to fraction form
    7,706.36/10,634.78 = 4,169.57/x
  3. Step 3: Cross multiply
    7,706.36x = 10,634.78 × 4,169.57
  4. Step 4: Simplify right side
    7,706.36x = 44,342,385.62
  5. Step 5: Solve for x
    x = 44,342,385.62/7,706.36
  6. Step 6: Final answer
    x = 5,754.00

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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.