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Finding the Fourth Proportional to 7,286, 10,930.85 and 2,091.88

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Solution

The fourth proportional to 7,286, 10,930.85 and 2,091.88 is: 3,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286 : 10,930.85 = 2,091.88 : x
  2. Step 2: Convert to fraction form
    7,286/10,930.85 = 2,091.88/x
  3. Step 3: Cross multiply
    7,286x = 10,930.85 × 2,091.88
  4. Step 4: Simplify right side
    7,286x = 22,865,961.38
  5. Step 5: Solve for x
    x = 22,865,961.38/7,286
  6. Step 6: Final answer
    x = 3,138.34

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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.