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Finding the Fourth Proportional to 8,734.20, 13,031.94 and 8,114.82

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Solution

The fourth proportional to 8,734.20, 13,031.94 and 8,114.82 is: 12,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.20 : 13,031.94 = 8,114.82 : x
  2. Step 2: Convert to fraction form
    8,734.20/13,031.94 = 8,114.82/x
  3. Step 3: Cross multiply
    8,734.20x = 13,031.94 × 8,114.82
  4. Step 4: Simplify right side
    8,734.20x = 105,751,847.35
  5. Step 5: Solve for x
    x = 105,751,847.35/8,734.20
  6. Step 6: Final answer
    x = 12,107.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.