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Finding the Fourth Proportional to 8,212.96, 12,308.08 and 7,114.60

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Solution

The fourth proportional to 8,212.96, 12,308.08 and 7,114.60 is: 10,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.96 : 12,308.08 = 7,114.60 : x
  2. Step 2: Convert to fraction form
    8,212.96/12,308.08 = 7,114.60/x
  3. Step 3: Cross multiply
    8,212.96x = 12,308.08 × 7,114.60
  4. Step 4: Simplify right side
    8,212.96x = 87,567,065.97
  5. Step 5: Solve for x
    x = 87,567,065.97/8,212.96
  6. Step 6: Final answer
    x = 10,662.06

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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.