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Finding the Fourth Proportional to 8,791.38, 12,137.40 and 5,812.20

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Solution

The fourth proportional to 8,791.38, 12,137.40 and 5,812.20 is: 8,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,791.38 : 12,137.40 = 5,812.20 : x
  2. Step 2: Convert to fraction form
    8,791.38/12,137.40 = 5,812.20/x
  3. Step 3: Cross multiply
    8,791.38x = 12,137.40 × 5,812.20
  4. Step 4: Simplify right side
    8,791.38x = 70,544,996.28
  5. Step 5: Solve for x
    x = 70,544,996.28/8,791.38
  6. Step 6: Final answer
    x = 8,024.34

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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.