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Finding the Fourth Proportional to 8,133.80, 12,192.60 and 3,743.60

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Solution

The fourth proportional to 8,133.80, 12,192.60 and 3,743.60 is: 5,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.80 : 12,192.60 = 3,743.60 : x
  2. Step 2: Convert to fraction form
    8,133.80/12,192.60 = 3,743.60/x
  3. Step 3: Cross multiply
    8,133.80x = 12,192.60 × 3,743.60
  4. Step 4: Simplify right side
    8,133.80x = 45,644,217.36
  5. Step 5: Solve for x
    x = 45,644,217.36/8,133.80
  6. Step 6: Final answer
    x = 5,611.67

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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.