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Finding the Fourth Proportional to 8,197.32, 12,295.98 and 3,514.28

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Solution

The fourth proportional to 8,197.32, 12,295.98 and 3,514.28 is: 5,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.32 : 12,295.98 = 3,514.28 : x
  2. Step 2: Convert to fraction form
    8,197.32/12,295.98 = 3,514.28/x
  3. Step 3: Cross multiply
    8,197.32x = 12,295.98 × 3,514.28
  4. Step 4: Simplify right side
    8,197.32x = 43,211,516.59
  5. Step 5: Solve for x
    x = 43,211,516.59/8,197.32
  6. Step 6: Final answer
    x = 5,271.42

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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.