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Finding the Fourth Proportional to 7,263.91, 10,896.27 and 2,069.38

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Solution

The fourth proportional to 7,263.91, 10,896.27 and 2,069.38 is: 3,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.91 : 10,896.27 = 2,069.38 : x
  2. Step 2: Convert to fraction form
    7,263.91/10,896.27 = 2,069.38/x
  3. Step 3: Cross multiply
    7,263.91x = 10,896.27 × 2,069.38
  4. Step 4: Simplify right side
    7,263.91x = 22,548,523.21
  5. Step 5: Solve for x
    x = 22,548,523.21/7,263.91
  6. Step 6: Final answer
    x = 3,104.19

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Why These Related Problems?

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