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Finding the Fourth Proportional to 8,294.68, 12,443.74 and 2,450.76

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Solution

The fourth proportional to 8,294.68, 12,443.74 and 2,450.76 is: 3,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.68 : 12,443.74 = 2,450.76 : x
  2. Step 2: Convert to fraction form
    8,294.68/12,443.74 = 2,450.76/x
  3. Step 3: Cross multiply
    8,294.68x = 12,443.74 × 2,450.76
  4. Step 4: Simplify right side
    8,294.68x = 30,496,620.24
  5. Step 5: Solve for x
    x = 30,496,620.24/8,294.68
  6. Step 6: Final answer
    x = 3,676.65

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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.