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Finding the Fourth Proportional to 8,169.34, 12,251.58 and 2,974

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Solution

The fourth proportional to 8,169.34, 12,251.58 and 2,974 is: 4,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.34 : 12,251.58 = 2,974 : x
  2. Step 2: Convert to fraction form
    8,169.34/12,251.58 = 2,974/x
  3. Step 3: Cross multiply
    8,169.34x = 12,251.58 × 2,974
  4. Step 4: Simplify right side
    8,169.34x = 36,436,198.92
  5. Step 5: Solve for x
    x = 36,436,198.92/8,169.34
  6. Step 6: Final answer
    x = 4,460.12

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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.