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Finding the Fourth Proportional to 7,761.45, 10,706.26 and 5,634.50

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Solution

The fourth proportional to 7,761.45, 10,706.26 and 5,634.50 is: 7,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.45 : 10,706.26 = 5,634.50 : x
  2. Step 2: Convert to fraction form
    7,761.45/10,706.26 = 5,634.50/x
  3. Step 3: Cross multiply
    7,761.45x = 10,706.26 × 5,634.50
  4. Step 4: Simplify right side
    7,761.45x = 60,324,393.80
  5. Step 5: Solve for x
    x = 60,324,393.80/7,761.45
  6. Step 6: Final answer
    x = 7,772.31

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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.