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Finding the Fourth Proportional to 8,310.96, 11,469.60 and 4,774.56

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Solution

The fourth proportional to 8,310.96, 11,469.60 and 4,774.56 is: 6,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.96 : 11,469.60 = 4,774.56 : x
  2. Step 2: Convert to fraction form
    8,310.96/11,469.60 = 4,774.56/x
  3. Step 3: Cross multiply
    8,310.96x = 11,469.60 × 4,774.56
  4. Step 4: Simplify right side
    8,310.96x = 54,762,293.38
  5. Step 5: Solve for x
    x = 54,762,293.38/8,310.96
  6. Step 6: Final answer
    x = 6,589.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.