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Finding the Fourth Proportional to 8,197.22, 12,295.85 and 3,514.21

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Solution

The fourth proportional to 8,197.22, 12,295.85 and 3,514.21 is: 5,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.22 : 12,295.85 = 3,514.21 : x
  2. Step 2: Convert to fraction form
    8,197.22/12,295.85 = 3,514.21/x
  3. Step 3: Cross multiply
    8,197.22x = 12,295.85 × 3,514.21
  4. Step 4: Simplify right side
    8,197.22x = 43,210,150.72
  5. Step 5: Solve for x
    x = 43,210,150.72/8,197.22
  6. Step 6: Final answer
    x = 5,271.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.