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Finding the Fourth Proportional to 8,174.55, 12,265.09 and 3,734.31

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Solution

The fourth proportional to 8,174.55, 12,265.09 and 3,734.31 is: 5,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.55 : 12,265.09 = 3,734.31 : x
  2. Step 2: Convert to fraction form
    8,174.55/12,265.09 = 3,734.31/x
  3. Step 3: Cross multiply
    8,174.55x = 12,265.09 × 3,734.31
  4. Step 4: Simplify right side
    8,174.55x = 45,801,638.90
  5. Step 5: Solve for x
    x = 45,801,638.90/8,174.55
  6. Step 6: Final answer
    x = 5,602.96

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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.