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Finding the Fourth Proportional to 8,128.53, 12,186.32 and 3,197.25

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Solution

The fourth proportional to 8,128.53, 12,186.32 and 3,197.25 is: 4,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.53 : 12,186.32 = 3,197.25 : x
  2. Step 2: Convert to fraction form
    8,128.53/12,186.32 = 3,197.25/x
  3. Step 3: Cross multiply
    8,128.53x = 12,186.32 × 3,197.25
  4. Step 4: Simplify right side
    8,128.53x = 38,962,695.63
  5. Step 5: Solve for x
    x = 38,962,695.63/8,128.53
  6. Step 6: Final answer
    x = 4,793.33

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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.