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Finding the Fourth Proportional to 7,754.80, 10,706.75 and 5,959.07

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Solution

The fourth proportional to 7,754.80, 10,706.75 and 5,959.07 is: 8,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.80 : 10,706.75 = 5,959.07 : x
  2. Step 2: Convert to fraction form
    7,754.80/10,706.75 = 5,959.07/x
  3. Step 3: Cross multiply
    7,754.80x = 10,706.75 × 5,959.07
  4. Step 4: Simplify right side
    7,754.80x = 63,802,234.09
  5. Step 5: Solve for x
    x = 63,802,234.09/7,754.80
  6. Step 6: Final answer
    x = 8,227.45

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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.