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Finding the Fourth Proportional to 8,175.80, 11,282.26 and 4,638.93

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Solution

The fourth proportional to 8,175.80, 11,282.26 and 4,638.93 is: 6,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.80 : 11,282.26 = 4,638.93 : x
  2. Step 2: Convert to fraction form
    8,175.80/11,282.26 = 4,638.93/x
  3. Step 3: Cross multiply
    8,175.80x = 11,282.26 × 4,638.93
  4. Step 4: Simplify right side
    8,175.80x = 52,337,614.38
  5. Step 5: Solve for x
    x = 52,337,614.38/8,175.80
  6. Step 6: Final answer
    x = 6,401.53

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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.