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Finding the Fourth Proportional to 8,078.17, 11,147.75 and 4,493.09

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Solution

The fourth proportional to 8,078.17, 11,147.75 and 4,493.09 is: 6,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.17 : 11,147.75 = 4,493.09 : x
  2. Step 2: Convert to fraction form
    8,078.17/11,147.75 = 4,493.09/x
  3. Step 3: Cross multiply
    8,078.17x = 11,147.75 × 4,493.09
  4. Step 4: Simplify right side
    8,078.17x = 50,087,788.31
  5. Step 5: Solve for x
    x = 50,087,788.31/8,078.17
  6. Step 6: Final answer
    x = 6,200.39

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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.