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Finding the Fourth Proportional to 8,449.75, 12,674.63 and 2,293.75

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Solution

The fourth proportional to 8,449.75, 12,674.63 and 2,293.75 is: 3,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.75 : 12,674.63 = 2,293.75 : x
  2. Step 2: Convert to fraction form
    8,449.75/12,674.63 = 2,293.75/x
  3. Step 3: Cross multiply
    8,449.75x = 12,674.63 × 2,293.75
  4. Step 4: Simplify right side
    8,449.75x = 29,072,432.56
  5. Step 5: Solve for x
    x = 29,072,432.56/8,449.75
  6. Step 6: Final answer
    x = 3,440.63

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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.