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Finding the Fourth Proportional to 8,186.82, 12,280.14 and 3,502.86

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Solution

The fourth proportional to 8,186.82, 12,280.14 and 3,502.86 is: 5,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.82 : 12,280.14 = 3,502.86 : x
  2. Step 2: Convert to fraction form
    8,186.82/12,280.14 = 3,502.86/x
  3. Step 3: Cross multiply
    8,186.82x = 12,280.14 × 3,502.86
  4. Step 4: Simplify right side
    8,186.82x = 43,015,611.20
  5. Step 5: Solve for x
    x = 43,015,611.20/8,186.82
  6. Step 6: Final answer
    x = 5,254.25

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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.