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Finding the Fourth Proportional to 8,214.90, 12,337.20 and 7,194.30

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Solution

The fourth proportional to 8,214.90, 12,337.20 and 7,194.30 is: 10,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.90 : 12,337.20 = 7,194.30 : x
  2. Step 2: Convert to fraction form
    8,214.90/12,337.20 = 7,194.30/x
  3. Step 3: Cross multiply
    8,214.90x = 12,337.20 × 7,194.30
  4. Step 4: Simplify right side
    8,214.90x = 88,757,517.96
  5. Step 5: Solve for x
    x = 88,757,517.96/8,214.90
  6. Step 6: Final answer
    x = 10,804.46

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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.