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Finding the Fourth Proportional to 8,069.44, 12,106.32 and 3,911.44

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Solution

The fourth proportional to 8,069.44, 12,106.32 and 3,911.44 is: 5,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.44 : 12,106.32 = 3,911.44 : x
  2. Step 2: Convert to fraction form
    8,069.44/12,106.32 = 3,911.44/x
  3. Step 3: Cross multiply
    8,069.44x = 12,106.32 × 3,911.44
  4. Step 4: Simplify right side
    8,069.44x = 47,353,144.30
  5. Step 5: Solve for x
    x = 47,353,144.30/8,069.44
  6. Step 6: Final answer
    x = 5,868.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.