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Finding the Fourth Proportional to 8,140.50, 12,212.37 and 3,523.50

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Solution

The fourth proportional to 8,140.50, 12,212.37 and 3,523.50 is: 5,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.50 : 12,212.37 = 3,523.50 : x
  2. Step 2: Convert to fraction form
    8,140.50/12,212.37 = 3,523.50/x
  3. Step 3: Cross multiply
    8,140.50x = 12,212.37 × 3,523.50
  4. Step 4: Simplify right side
    8,140.50x = 43,030,285.70
  5. Step 5: Solve for x
    x = 43,030,285.70/8,140.50
  6. Step 6: Final answer
    x = 5,285.95

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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.