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Finding the Fourth Proportional to 7,651.88, 11,464.23 and 3,199.74

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Solution

The fourth proportional to 7,651.88, 11,464.23 and 3,199.74 is: 4,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.88 : 11,464.23 = 3,199.74 : x
  2. Step 2: Convert to fraction form
    7,651.88/11,464.23 = 3,199.74/x
  3. Step 3: Cross multiply
    7,651.88x = 11,464.23 × 3,199.74
  4. Step 4: Simplify right side
    7,651.88x = 36,682,555.30
  5. Step 5: Solve for x
    x = 36,682,555.30/7,651.88
  6. Step 6: Final answer
    x = 4,793.93

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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.