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Finding the Fourth Proportional to 11,847.62, 16,349.72 and 6,812.84

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Solution

The fourth proportional to 11,847.62, 16,349.72 and 6,812.84 is: 9,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.62 : 16,349.72 = 6,812.84 : x
  2. Step 2: Convert to fraction form
    11,847.62/16,349.72 = 6,812.84/x
  3. Step 3: Cross multiply
    11,847.62x = 16,349.72 × 6,812.84
  4. Step 4: Simplify right side
    11,847.62x = 111,388,033.21
  5. Step 5: Solve for x
    x = 111,388,033.21/11,847.62
  6. Step 6: Final answer
    x = 9,401.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.