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Finding the Fourth Proportional to 8,181.69, 12,272.58 and 3,497.75

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Solution

The fourth proportional to 8,181.69, 12,272.58 and 3,497.75 is: 5,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.69 : 12,272.58 = 3,497.75 : x
  2. Step 2: Convert to fraction form
    8,181.69/12,272.58 = 3,497.75/x
  3. Step 3: Cross multiply
    8,181.69x = 12,272.58 × 3,497.75
  4. Step 4: Simplify right side
    8,181.69x = 42,926,401.35
  5. Step 5: Solve for x
    x = 42,926,401.35/8,181.69
  6. Step 6: Final answer
    x = 5,246.64

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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.