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Finding the Fourth Proportional to 8,267, 12,397.44 and 2,718.73

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Solution

The fourth proportional to 8,267, 12,397.44 and 2,718.73 is: 4,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 12,397.44 = 2,718.73 : x
  2. Step 2: Convert to fraction form
    8,267/12,397.44 = 2,718.73/x
  3. Step 3: Cross multiply
    8,267x = 12,397.44 × 2,718.73
  4. Step 4: Simplify right side
    8,267x = 33,705,230.06
  5. Step 5: Solve for x
    x = 33,705,230.06/8,267
  6. Step 6: Final answer
    x = 4,077.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.