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Finding the Fourth Proportional to 8,428.80, 12,645 and 3,234.63

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Solution

The fourth proportional to 8,428.80, 12,645 and 3,234.63 is: 4,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.80 : 12,645 = 3,234.63 : x
  2. Step 2: Convert to fraction form
    8,428.80/12,645 = 3,234.63/x
  3. Step 3: Cross multiply
    8,428.80x = 12,645 × 3,234.63
  4. Step 4: Simplify right side
    8,428.80x = 40,901,896.35
  5. Step 5: Solve for x
    x = 40,901,896.35/8,428.80
  6. Step 6: Final answer
    x = 4,852.64

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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.