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Finding the Fourth Proportional to 8,348.50, 12,522.84 and 2,192.50

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Solution

The fourth proportional to 8,348.50, 12,522.84 and 2,192.50 is: 3,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.50 : 12,522.84 = 2,192.50 : x
  2. Step 2: Convert to fraction form
    8,348.50/12,522.84 = 2,192.50/x
  3. Step 3: Cross multiply
    8,348.50x = 12,522.84 × 2,192.50
  4. Step 4: Simplify right side
    8,348.50x = 27,456,326.70
  5. Step 5: Solve for x
    x = 27,456,326.70/8,348.50
  6. Step 6: Final answer
    x = 3,288.77

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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.