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Finding the Fourth Proportional to 6,810.52, 10,193.90 and 3,519.12

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Solution

The fourth proportional to 6,810.52, 10,193.90 and 3,519.12 is: 5,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.52 : 10,193.90 = 3,519.12 : x
  2. Step 2: Convert to fraction form
    6,810.52/10,193.90 = 3,519.12/x
  3. Step 3: Cross multiply
    6,810.52x = 10,193.90 × 3,519.12
  4. Step 4: Simplify right side
    6,810.52x = 35,873,557.37
  5. Step 5: Solve for x
    x = 35,873,557.37/6,810.52
  6. Step 6: Final answer
    x = 5,267.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.