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Finding the Fourth Proportional to 8,292, 12,438.24 and 2,136

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Solution

The fourth proportional to 8,292, 12,438.24 and 2,136 is: 3,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292 : 12,438.24 = 2,136 : x
  2. Step 2: Convert to fraction form
    8,292/12,438.24 = 2,136/x
  3. Step 3: Cross multiply
    8,292x = 12,438.24 × 2,136
  4. Step 4: Simplify right side
    8,292x = 26,568,080.64
  5. Step 5: Solve for x
    x = 26,568,080.64/8,292
  6. Step 6: Final answer
    x = 3,204.06

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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.