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Finding the Fourth Proportional to 8,267.49, 11,410.20 and 6,274.62

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Solution

The fourth proportional to 8,267.49, 11,410.20 and 6,274.62 is: 8,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.49 : 11,410.20 = 6,274.62 : x
  2. Step 2: Convert to fraction form
    8,267.49/11,410.20 = 6,274.62/x
  3. Step 3: Cross multiply
    8,267.49x = 11,410.20 × 6,274.62
  4. Step 4: Simplify right side
    8,267.49x = 71,594,669.12
  5. Step 5: Solve for x
    x = 71,594,669.12/8,267.49
  6. Step 6: Final answer
    x = 8,659.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.