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Finding the Fourth Proportional to 7,226.94, 10,838.25 and 2,033.34

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Solution

The fourth proportional to 7,226.94, 10,838.25 and 2,033.34 is: 3,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.94 : 10,838.25 = 2,033.34 : x
  2. Step 2: Convert to fraction form
    7,226.94/10,838.25 = 2,033.34/x
  3. Step 3: Cross multiply
    7,226.94x = 10,838.25 × 2,033.34
  4. Step 4: Simplify right side
    7,226.94x = 22,037,847.26
  5. Step 5: Solve for x
    x = 22,037,847.26/7,226.94
  6. Step 6: Final answer
    x = 3,049.40

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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.