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Finding the Fourth Proportional to 8,047.92, 12,072.30 and 2,203.80

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Solution

The fourth proportional to 8,047.92, 12,072.30 and 2,203.80 is: 3,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.92 : 12,072.30 = 2,203.80 : x
  2. Step 2: Convert to fraction form
    8,047.92/12,072.30 = 2,203.80/x
  3. Step 3: Cross multiply
    8,047.92x = 12,072.30 × 2,203.80
  4. Step 4: Simplify right side
    8,047.92x = 26,604,934.74
  5. Step 5: Solve for x
    x = 26,604,934.74/8,047.92
  6. Step 6: Final answer
    x = 3,305.82

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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.