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Finding the Fourth Proportional to 7,794.24, 11,684.64 and 3,174.24

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Solution

The fourth proportional to 7,794.24, 11,684.64 and 3,174.24 is: 4,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.24 : 11,684.64 = 3,174.24 : x
  2. Step 2: Convert to fraction form
    7,794.24/11,684.64 = 3,174.24/x
  3. Step 3: Cross multiply
    7,794.24x = 11,684.64 × 3,174.24
  4. Step 4: Simplify right side
    7,794.24x = 37,089,851.67
  5. Step 5: Solve for x
    x = 37,089,851.67/7,794.24
  6. Step 6: Final answer
    x = 4,758.62

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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.