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Finding the Fourth Proportional to 7,338.44, 11,008.64 and 2,144.24

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Solution

The fourth proportional to 7,338.44, 11,008.64 and 2,144.24 is: 3,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.44 : 11,008.64 = 2,144.24 : x
  2. Step 2: Convert to fraction form
    7,338.44/11,008.64 = 2,144.24/x
  3. Step 3: Cross multiply
    7,338.44x = 11,008.64 × 2,144.24
  4. Step 4: Simplify right side
    7,338.44x = 23,605,166.23
  5. Step 5: Solve for x
    x = 23,605,166.23/7,338.44
  6. Step 6: Final answer
    x = 3,216.65

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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.