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Finding the Fourth Proportional to 8,282.24, 12,402.24 and 8,036

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Solution

The fourth proportional to 8,282.24, 12,402.24 and 8,036 is: 12,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.24 : 12,402.24 = 8,036 : x
  2. Step 2: Convert to fraction form
    8,282.24/12,402.24 = 8,036/x
  3. Step 3: Cross multiply
    8,282.24x = 12,402.24 × 8,036
  4. Step 4: Simplify right side
    8,282.24x = 99,664,400.64
  5. Step 5: Solve for x
    x = 99,664,400.64/8,282.24
  6. Step 6: Final answer
    x = 12,033.51

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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.