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Finding the Fourth Proportional to 8,176.40, 12,232.20 and 7,092.80

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Solution

The fourth proportional to 8,176.40, 12,232.20 and 7,092.80 is: 10,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.40 : 12,232.20 = 7,092.80 : x
  2. Step 2: Convert to fraction form
    8,176.40/12,232.20 = 7,092.80/x
  3. Step 3: Cross multiply
    8,176.40x = 12,232.20 × 7,092.80
  4. Step 4: Simplify right side
    8,176.40x = 86,760,548.16
  5. Step 5: Solve for x
    x = 86,760,548.16/8,176.40
  6. Step 6: Final answer
    x = 10,611.09

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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.