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Finding the Fourth Proportional to 6,762.88, 10,143.60 and 3,204.14

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Solution

The fourth proportional to 6,762.88, 10,143.60 and 3,204.14 is: 4,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.88 : 10,143.60 = 3,204.14 : x
  2. Step 2: Convert to fraction form
    6,762.88/10,143.60 = 3,204.14/x
  3. Step 3: Cross multiply
    6,762.88x = 10,143.60 × 3,204.14
  4. Step 4: Simplify right side
    6,762.88x = 32,501,514.50
  5. Step 5: Solve for x
    x = 32,501,514.50/6,762.88
  6. Step 6: Final answer
    x = 4,805.87

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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.