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Finding the Fourth Proportional to 8,378.73, 11,560.25 and 5,396.31

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Solution

The fourth proportional to 8,378.73, 11,560.25 and 5,396.31 is: 7,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.73 : 11,560.25 = 5,396.31 : x
  2. Step 2: Convert to fraction form
    8,378.73/11,560.25 = 5,396.31/x
  3. Step 3: Cross multiply
    8,378.73x = 11,560.25 × 5,396.31
  4. Step 4: Simplify right side
    8,378.73x = 62,382,692.68
  5. Step 5: Solve for x
    x = 62,382,692.68/8,378.73
  6. Step 6: Final answer
    x = 7,445.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.