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Finding the Fourth Proportional to 8,325.38, 12,464.94 and 5,394.80

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Solution

The fourth proportional to 8,325.38, 12,464.94 and 5,394.80 is: 8,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.38 : 12,464.94 = 5,394.80 : x
  2. Step 2: Convert to fraction form
    8,325.38/12,464.94 = 5,394.80/x
  3. Step 3: Cross multiply
    8,325.38x = 12,464.94 × 5,394.80
  4. Step 4: Simplify right side
    8,325.38x = 67,245,858.31
  5. Step 5: Solve for x
    x = 67,245,858.31/8,325.38
  6. Step 6: Final answer
    x = 8,077.21

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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.