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Finding the Fourth Proportional to 8,270.87, 12,394.15 and 6,520.05

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Solution

The fourth proportional to 8,270.87, 12,394.15 and 6,520.05 is: 9,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.87 : 12,394.15 = 6,520.05 : x
  2. Step 2: Convert to fraction form
    8,270.87/12,394.15 = 6,520.05/x
  3. Step 3: Cross multiply
    8,270.87x = 12,394.15 × 6,520.05
  4. Step 4: Simplify right side
    8,270.87x = 80,810,461.41
  5. Step 5: Solve for x
    x = 80,810,461.41/8,270.87
  6. Step 6: Final answer
    x = 9,770.50

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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.