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Finding the Fourth Proportional to 7,294.62, 10,944.25 and 2,296.79

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Solution

The fourth proportional to 7,294.62, 10,944.25 and 2,296.79 is: 3,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.62 : 10,944.25 = 2,296.79 : x
  2. Step 2: Convert to fraction form
    7,294.62/10,944.25 = 2,296.79/x
  3. Step 3: Cross multiply
    7,294.62x = 10,944.25 × 2,296.79
  4. Step 4: Simplify right side
    7,294.62x = 25,136,624.54
  5. Step 5: Solve for x
    x = 25,136,624.54/7,294.62
  6. Step 6: Final answer
    x = 3,445.91

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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.