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Finding the Fourth Proportional to 8,735.82, 13,104.03 and 2,892.27

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Solution

The fourth proportional to 8,735.82, 13,104.03 and 2,892.27 is: 4,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.82 : 13,104.03 = 2,892.27 : x
  2. Step 2: Convert to fraction form
    8,735.82/13,104.03 = 2,892.27/x
  3. Step 3: Cross multiply
    8,735.82x = 13,104.03 × 2,892.27
  4. Step 4: Simplify right side
    8,735.82x = 37,900,392.85
  5. Step 5: Solve for x
    x = 37,900,392.85/8,735.82
  6. Step 6: Final answer
    x = 4,338.50

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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.