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Finding the Fourth Proportional to 7,640.96, 11,464.70 and 3,199.66

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Solution

The fourth proportional to 7,640.96, 11,464.70 and 3,199.66 is: 4,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.96 : 11,464.70 = 3,199.66 : x
  2. Step 2: Convert to fraction form
    7,640.96/11,464.70 = 3,199.66/x
  3. Step 3: Cross multiply
    7,640.96x = 11,464.70 × 3,199.66
  4. Step 4: Simplify right side
    7,640.96x = 36,683,142.00
  5. Step 5: Solve for x
    x = 36,683,142.00/7,640.96
  6. Step 6: Final answer
    x = 4,800.86

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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.