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Finding the Fourth Proportional to 8,188.38, 12,299.58 and 7,969.68

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Solution

The fourth proportional to 8,188.38, 12,299.58 and 7,969.68 is: 11,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.38 : 12,299.58 = 7,969.68 : x
  2. Step 2: Convert to fraction form
    8,188.38/12,299.58 = 7,969.68/x
  3. Step 3: Cross multiply
    8,188.38x = 12,299.58 × 7,969.68
  4. Step 4: Simplify right side
    8,188.38x = 98,023,716.73
  5. Step 5: Solve for x
    x = 98,023,716.73/8,188.38
  6. Step 6: Final answer
    x = 11,971.08

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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.