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Finding the Fourth Proportional to 8,221.80, 12,334.30 and 3,541.80

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Solution

The fourth proportional to 8,221.80, 12,334.30 and 3,541.80 is: 5,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.80 : 12,334.30 = 3,541.80 : x
  2. Step 2: Convert to fraction form
    8,221.80/12,334.30 = 3,541.80/x
  3. Step 3: Cross multiply
    8,221.80x = 12,334.30 × 3,541.80
  4. Step 4: Simplify right side
    8,221.80x = 43,685,623.74
  5. Step 5: Solve for x
    x = 43,685,623.74/8,221.80
  6. Step 6: Final answer
    x = 5,313.39

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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.