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Finding the Fourth Proportional to 8,049.75, 12,074.57 and 2,503.08

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Solution

The fourth proportional to 8,049.75, 12,074.57 and 2,503.08 is: 3,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.75 : 12,074.57 = 2,503.08 : x
  2. Step 2: Convert to fraction form
    8,049.75/12,074.57 = 2,503.08/x
  3. Step 3: Cross multiply
    8,049.75x = 12,074.57 × 2,503.08
  4. Step 4: Simplify right side
    8,049.75x = 30,223,614.68
  5. Step 5: Solve for x
    x = 30,223,614.68/8,049.75
  6. Step 6: Final answer
    x = 3,754.60

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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.