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Finding the Fourth Proportional to 8,120.52, 12,121.92 and 7,136.37

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Solution

The fourth proportional to 8,120.52, 12,121.92 and 7,136.37 is: 10,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.52 : 12,121.92 = 7,136.37 : x
  2. Step 2: Convert to fraction form
    8,120.52/12,121.92 = 7,136.37/x
  3. Step 3: Cross multiply
    8,120.52x = 12,121.92 × 7,136.37
  4. Step 4: Simplify right side
    8,120.52x = 86,506,506.23
  5. Step 5: Solve for x
    x = 86,506,506.23/8,120.52
  6. Step 6: Final answer
    x = 10,652.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.