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Finding the Fourth Proportional to 6,763.21, 10,144.47 and 2,380.70

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Solution

The fourth proportional to 6,763.21, 10,144.47 and 2,380.70 is: 3,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.21 : 10,144.47 = 2,380.70 : x
  2. Step 2: Convert to fraction form
    6,763.21/10,144.47 = 2,380.70/x
  3. Step 3: Cross multiply
    6,763.21x = 10,144.47 × 2,380.70
  4. Step 4: Simplify right side
    6,763.21x = 24,150,939.73
  5. Step 5: Solve for x
    x = 24,150,939.73/6,763.21
  6. Step 6: Final answer
    x = 3,570.93

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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.