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Finding the Fourth Proportional to 8,367.20, 11,538.41 and 6,474.23

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Solution

The fourth proportional to 8,367.20, 11,538.41 and 6,474.23 is: 8,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.20 : 11,538.41 = 6,474.23 : x
  2. Step 2: Convert to fraction form
    8,367.20/11,538.41 = 6,474.23/x
  3. Step 3: Cross multiply
    8,367.20x = 11,538.41 × 6,474.23
  4. Step 4: Simplify right side
    8,367.20x = 74,702,230.11
  5. Step 5: Solve for x
    x = 74,702,230.11/8,367.20
  6. Step 6: Final answer
    x = 8,927.99

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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.