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Finding the Fourth Proportional to 8,035.22, 12,035 and 6,172.62

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Solution

The fourth proportional to 8,035.22, 12,035 and 6,172.62 is: 9,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.22 : 12,035 = 6,172.62 : x
  2. Step 2: Convert to fraction form
    8,035.22/12,035 = 6,172.62/x
  3. Step 3: Cross multiply
    8,035.22x = 12,035 × 6,172.62
  4. Step 4: Simplify right side
    8,035.22x = 74,287,481.70
  5. Step 5: Solve for x
    x = 74,287,481.70/8,035.22
  6. Step 6: Final answer
    x = 9,245.23

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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.