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Finding the Fourth Proportional to 8,238.09, 12,346.39 and 7,195.62

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Solution

The fourth proportional to 8,238.09, 12,346.39 and 7,195.62 is: 10,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.09 : 12,346.39 = 7,195.62 : x
  2. Step 2: Convert to fraction form
    8,238.09/12,346.39 = 7,195.62/x
  3. Step 3: Cross multiply
    8,238.09x = 12,346.39 × 7,195.62
  4. Step 4: Simplify right side
    8,238.09x = 88,839,930.81
  5. Step 5: Solve for x
    x = 88,839,930.81/8,238.09
  6. Step 6: Final answer
    x = 10,784.04

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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.