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Finding the Fourth Proportional to 8,446.29, 12,671.25 and 2,523.65

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Solution

The fourth proportional to 8,446.29, 12,671.25 and 2,523.65 is: 3,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.29 : 12,671.25 = 2,523.65 : x
  2. Step 2: Convert to fraction form
    8,446.29/12,671.25 = 2,523.65/x
  3. Step 3: Cross multiply
    8,446.29x = 12,671.25 × 2,523.65
  4. Step 4: Simplify right side
    8,446.29x = 31,977,800.06
  5. Step 5: Solve for x
    x = 31,977,800.06/8,446.29
  6. Step 6: Final answer
    x = 3,786.02

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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.