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Finding the Fourth Proportional to 8,310.36, 11,469.29 and 4,726.64

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Solution

The fourth proportional to 8,310.36, 11,469.29 and 4,726.64 is: 6,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.36 : 11,469.29 = 4,726.64 : x
  2. Step 2: Convert to fraction form
    8,310.36/11,469.29 = 4,726.64/x
  3. Step 3: Cross multiply
    8,310.36x = 11,469.29 × 4,726.64
  4. Step 4: Simplify right side
    8,310.36x = 54,211,123.91
  5. Step 5: Solve for x
    x = 54,211,123.91/8,310.36
  6. Step 6: Final answer
    x = 6,523.32

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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.