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Finding the Fourth Proportional to 8,454.24, 12,674.88 and 3,834

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Solution

The fourth proportional to 8,454.24, 12,674.88 and 3,834 is: 5,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.24 : 12,674.88 = 3,834 : x
  2. Step 2: Convert to fraction form
    8,454.24/12,674.88 = 3,834/x
  3. Step 3: Cross multiply
    8,454.24x = 12,674.88 × 3,834
  4. Step 4: Simplify right side
    8,454.24x = 48,595,489.92
  5. Step 5: Solve for x
    x = 48,595,489.92/8,454.24
  6. Step 6: Final answer
    x = 5,748.06

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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.