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Finding the Fourth Proportional to 7,285.77, 10,928.97 and 2,092.05

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Solution

The fourth proportional to 7,285.77, 10,928.97 and 2,092.05 is: 3,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285.77 : 10,928.97 = 2,092.05 : x
  2. Step 2: Convert to fraction form
    7,285.77/10,928.97 = 2,092.05/x
  3. Step 3: Cross multiply
    7,285.77x = 10,928.97 × 2,092.05
  4. Step 4: Simplify right side
    7,285.77x = 22,863,951.69
  5. Step 5: Solve for x
    x = 22,863,951.69/7,285.77
  6. Step 6: Final answer
    x = 3,138.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.