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Finding the Fourth Proportional to 7,794.15, 11,684.27 and 3,408.14

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Solution

The fourth proportional to 7,794.15, 11,684.27 and 3,408.14 is: 5,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.15 : 11,684.27 = 3,408.14 : x
  2. Step 2: Convert to fraction form
    7,794.15/11,684.27 = 3,408.14/x
  3. Step 3: Cross multiply
    7,794.15x = 11,684.27 × 3,408.14
  4. Step 4: Simplify right side
    7,794.15x = 39,821,627.96
  5. Step 5: Solve for x
    x = 39,821,627.96/7,794.15
  6. Step 6: Final answer
    x = 5,109.17

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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.