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Finding the Fourth Proportional to 8,204.67, 12,308.19 and 3,010.14

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Solution

The fourth proportional to 8,204.67, 12,308.19 and 3,010.14 is: 4,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.67 : 12,308.19 = 3,010.14 : x
  2. Step 2: Convert to fraction form
    8,204.67/12,308.19 = 3,010.14/x
  3. Step 3: Cross multiply
    8,204.67x = 12,308.19 × 3,010.14
  4. Step 4: Simplify right side
    8,204.67x = 37,049,375.05
  5. Step 5: Solve for x
    x = 37,049,375.05/8,204.67
  6. Step 6: Final answer
    x = 4,515.64

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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.