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Finding the Fourth Proportional to 7,286.45, 10,093.37 and 7,138.82

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Solution

The fourth proportional to 7,286.45, 10,093.37 and 7,138.82 is: 9,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.45 : 10,093.37 = 7,138.82 : x
  2. Step 2: Convert to fraction form
    7,286.45/10,093.37 = 7,138.82/x
  3. Step 3: Cross multiply
    7,286.45x = 10,093.37 × 7,138.82
  4. Step 4: Simplify right side
    7,286.45x = 72,054,665.46
  5. Step 5: Solve for x
    x = 72,054,665.46/7,286.45
  6. Step 6: Final answer
    x = 9,888.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.