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Finding the Fourth Proportional to 10,469.08, 15,695.94 and 4,919.56

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Solution

The fourth proportional to 10,469.08, 15,695.94 and 4,919.56 is: 7,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.08 : 15,695.94 = 4,919.56 : x
  2. Step 2: Convert to fraction form
    10,469.08/15,695.94 = 4,919.56/x
  3. Step 3: Cross multiply
    10,469.08x = 15,695.94 × 4,919.56
  4. Step 4: Simplify right side
    10,469.08x = 77,217,118.59
  5. Step 5: Solve for x
    x = 77,217,118.59/10,469.08
  6. Step 6: Final answer
    x = 7,375.73

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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.