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Finding the Fourth Proportional to 12,086.46, 18,136.88 and 6,539.69

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Solution

The fourth proportional to 12,086.46, 18,136.88 and 6,539.69 is: 9,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.46 : 18,136.88 = 6,539.69 : x
  2. Step 2: Convert to fraction form
    12,086.46/18,136.88 = 6,539.69/x
  3. Step 3: Cross multiply
    12,086.46x = 18,136.88 × 6,539.69
  4. Step 4: Simplify right side
    12,086.46x = 118,609,609.93
  5. Step 5: Solve for x
    x = 118,609,609.93/12,086.46
  6. Step 6: Final answer
    x = 9,813.43

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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.