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Finding the Fourth Proportional to 8,183.34, 12,277.17 and 2,637

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Solution

The fourth proportional to 8,183.34, 12,277.17 and 2,637 is: 3,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.34 : 12,277.17 = 2,637 : x
  2. Step 2: Convert to fraction form
    8,183.34/12,277.17 = 2,637/x
  3. Step 3: Cross multiply
    8,183.34x = 12,277.17 × 2,637
  4. Step 4: Simplify right side
    8,183.34x = 32,374,897.29
  5. Step 5: Solve for x
    x = 32,374,897.29/8,183.34
  6. Step 6: Final answer
    x = 3,956.20

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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.