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Finding the Fourth Proportional to 7,799.96, 11,684.50 and 4,096.64

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Solution

The fourth proportional to 7,799.96, 11,684.50 and 4,096.64 is: 6,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.96 : 11,684.50 = 4,096.64 : x
  2. Step 2: Convert to fraction form
    7,799.96/11,684.50 = 4,096.64/x
  3. Step 3: Cross multiply
    7,799.96x = 11,684.50 × 4,096.64
  4. Step 4: Simplify right side
    7,799.96x = 47,867,190.08
  5. Step 5: Solve for x
    x = 47,867,190.08/7,799.96
  6. Step 6: Final answer
    x = 6,136.85

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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.