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Finding the Fourth Proportional to 7,224.46, 10,834.46 and 3,064.38

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Solution

The fourth proportional to 7,224.46, 10,834.46 and 3,064.38 is: 4,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.46 : 10,834.46 = 3,064.38 : x
  2. Step 2: Convert to fraction form
    7,224.46/10,834.46 = 3,064.38/x
  3. Step 3: Cross multiply
    7,224.46x = 10,834.46 × 3,064.38
  4. Step 4: Simplify right side
    7,224.46x = 33,200,902.53
  5. Step 5: Solve for x
    x = 33,200,902.53/7,224.46
  6. Step 6: Final answer
    x = 4,595.62

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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.