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Finding the Fourth Proportional to 8,411.31, 12,620.39 and 4,252.50

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Solution

The fourth proportional to 8,411.31, 12,620.39 and 4,252.50 is: 6,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.31 : 12,620.39 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    8,411.31/12,620.39 = 4,252.50/x
  3. Step 3: Cross multiply
    8,411.31x = 12,620.39 × 4,252.50
  4. Step 4: Simplify right side
    8,411.31x = 53,668,187.21
  5. Step 5: Solve for x
    x = 53,668,187.21/8,411.31
  6. Step 6: Final answer
    x = 6,380.48

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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.