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Finding the Fourth Proportional to 8,222.52, 12,334.94 and 2,674.08

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Solution

The fourth proportional to 8,222.52, 12,334.94 and 2,674.08 is: 4,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.52 : 12,334.94 = 2,674.08 : x
  2. Step 2: Convert to fraction form
    8,222.52/12,334.94 = 2,674.08/x
  3. Step 3: Cross multiply
    8,222.52x = 12,334.94 × 2,674.08
  4. Step 4: Simplify right side
    8,222.52x = 32,984,616.36
  5. Step 5: Solve for x
    x = 32,984,616.36/8,222.52
  6. Step 6: Final answer
    x = 4,011.50

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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.