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Finding the Fourth Proportional to 7,234.87, 10,844.85 and 3,288.87

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Solution

The fourth proportional to 7,234.87, 10,844.85 and 3,288.87 is: 4,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.87 : 10,844.85 = 3,288.87 : x
  2. Step 2: Convert to fraction form
    7,234.87/10,844.85 = 3,288.87/x
  3. Step 3: Cross multiply
    7,234.87x = 10,844.85 × 3,288.87
  4. Step 4: Simplify right side
    7,234.87x = 35,667,285.38
  5. Step 5: Solve for x
    x = 35,667,285.38/7,234.87
  6. Step 6: Final answer
    x = 4,929.92

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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.