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Finding the Fourth Proportional to 8,216.22, 12,319.41 and 3,768.32

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Solution

The fourth proportional to 8,216.22, 12,319.41 and 3,768.32 is: 5,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.22 : 12,319.41 = 3,768.32 : x
  2. Step 2: Convert to fraction form
    8,216.22/12,319.41 = 3,768.32/x
  3. Step 3: Cross multiply
    8,216.22x = 12,319.41 × 3,768.32
  4. Step 4: Simplify right side
    8,216.22x = 46,423,398.65
  5. Step 5: Solve for x
    x = 46,423,398.65/8,216.22
  6. Step 6: Final answer
    x = 5,650.21

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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.