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Finding the Fourth Proportional to 8,317.38, 11,477.90 and 4,540.48

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Solution

The fourth proportional to 8,317.38, 11,477.90 and 4,540.48 is: 6,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.38 : 11,477.90 = 4,540.48 : x
  2. Step 2: Convert to fraction form
    8,317.38/11,477.90 = 4,540.48/x
  3. Step 3: Cross multiply
    8,317.38x = 11,477.90 × 4,540.48
  4. Step 4: Simplify right side
    8,317.38x = 52,115,175.39
  5. Step 5: Solve for x
    x = 52,115,175.39/8,317.38
  6. Step 6: Final answer
    x = 6,265.82

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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.