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Finding the Fourth Proportional to 8,073.97, 11,142.20 and 4,537.18

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Solution

The fourth proportional to 8,073.97, 11,142.20 and 4,537.18 is: 6,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.97 : 11,142.20 = 4,537.18 : x
  2. Step 2: Convert to fraction form
    8,073.97/11,142.20 = 4,537.18/x
  3. Step 3: Cross multiply
    8,073.97x = 11,142.20 × 4,537.18
  4. Step 4: Simplify right side
    8,073.97x = 50,554,150.48
  5. Step 5: Solve for x
    x = 50,554,150.48/8,073.97
  6. Step 6: Final answer
    x = 6,261.38

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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.