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Finding the Fourth Proportional to 8,092.65, 12,136.03 and 2,826.18

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Solution

The fourth proportional to 8,092.65, 12,136.03 and 2,826.18 is: 4,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.65 : 12,136.03 = 2,826.18 : x
  2. Step 2: Convert to fraction form
    8,092.65/12,136.03 = 2,826.18/x
  3. Step 3: Cross multiply
    8,092.65x = 12,136.03 × 2,826.18
  4. Step 4: Simplify right side
    8,092.65x = 34,298,574.93
  5. Step 5: Solve for x
    x = 34,298,574.93/8,092.65
  6. Step 6: Final answer
    x = 4,238.24

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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.