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Finding the Fourth Proportional to 7,351.76, 11,027.64 and 3,658.61

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Solution

The fourth proportional to 7,351.76, 11,027.64 and 3,658.61 is: 5,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.76 : 11,027.64 = 3,658.61 : x
  2. Step 2: Convert to fraction form
    7,351.76/11,027.64 = 3,658.61/x
  3. Step 3: Cross multiply
    7,351.76x = 11,027.64 × 3,658.61
  4. Step 4: Simplify right side
    7,351.76x = 40,345,833.98
  5. Step 5: Solve for x
    x = 40,345,833.98/7,351.76
  6. Step 6: Final answer
    x = 5,487.92

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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.