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Finding the Fourth Proportional to 7,223, 10,834.32 and 2,292.92

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Solution

The fourth proportional to 7,223, 10,834.32 and 2,292.92 is: 3,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223 : 10,834.32 = 2,292.92 : x
  2. Step 2: Convert to fraction form
    7,223/10,834.32 = 2,292.92/x
  3. Step 3: Cross multiply
    7,223x = 10,834.32 × 2,292.92
  4. Step 4: Simplify right side
    7,223x = 24,842,229.01
  5. Step 5: Solve for x
    x = 24,842,229.01/7,223
  6. Step 6: Final answer
    x = 3,439.32

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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.