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Finding the Fourth Proportional to 7,841.50, 11,763.06 and 3,163.12

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Solution

The fourth proportional to 7,841.50, 11,763.06 and 3,163.12 is: 4,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.50 : 11,763.06 = 3,163.12 : x
  2. Step 2: Convert to fraction form
    7,841.50/11,763.06 = 3,163.12/x
  3. Step 3: Cross multiply
    7,841.50x = 11,763.06 × 3,163.12
  4. Step 4: Simplify right side
    7,841.50x = 37,207,970.35
  5. Step 5: Solve for x
    x = 37,207,970.35/7,841.50
  6. Step 6: Final answer
    x = 4,745.01

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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.