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Finding the Fourth Proportional to 12,738, 19,087.48 and 5,338.44

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Solution

The fourth proportional to 12,738, 19,087.48 and 5,338.44 is: 7,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738 : 19,087.48 = 5,338.44 : x
  2. Step 2: Convert to fraction form
    12,738/19,087.48 = 5,338.44/x
  3. Step 3: Cross multiply
    12,738x = 19,087.48 × 5,338.44
  4. Step 4: Simplify right side
    12,738x = 101,897,366.73
  5. Step 5: Solve for x
    x = 101,897,366.73/12,738
  6. Step 6: Final answer
    x = 7,999.48

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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.