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Finding the Fourth Proportional to 7,263.82, 10,896.33 and 2,069.74

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Solution

The fourth proportional to 7,263.82, 10,896.33 and 2,069.74 is: 3,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.82 : 10,896.33 = 2,069.74 : x
  2. Step 2: Convert to fraction form
    7,263.82/10,896.33 = 2,069.74/x
  3. Step 3: Cross multiply
    7,263.82x = 10,896.33 × 2,069.74
  4. Step 4: Simplify right side
    7,263.82x = 22,552,570.05
  5. Step 5: Solve for x
    x = 22,552,570.05/7,263.82
  6. Step 6: Final answer
    x = 3,104.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.