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Finding the Fourth Proportional to 7,794.86, 11,697.03 and 4,099.73

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Solution

The fourth proportional to 7,794.86, 11,697.03 and 4,099.73 is: 6,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.86 : 11,697.03 = 4,099.73 : x
  2. Step 2: Convert to fraction form
    7,794.86/11,697.03 = 4,099.73/x
  3. Step 3: Cross multiply
    7,794.86x = 11,697.03 × 4,099.73
  4. Step 4: Simplify right side
    7,794.86x = 47,954,606.32
  5. Step 5: Solve for x
    x = 47,954,606.32/7,794.86
  6. Step 6: Final answer
    x = 6,152.08

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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.