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Finding the Fourth Proportional to 7,893.50, 11,840.34 and 2,049.76

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Solution

The fourth proportional to 7,893.50, 11,840.34 and 2,049.76 is: 3,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.50 : 11,840.34 = 2,049.76 : x
  2. Step 2: Convert to fraction form
    7,893.50/11,840.34 = 2,049.76/x
  3. Step 3: Cross multiply
    7,893.50x = 11,840.34 × 2,049.76
  4. Step 4: Simplify right side
    7,893.50x = 24,269,855.32
  5. Step 5: Solve for x
    x = 24,269,855.32/7,893.50
  6. Step 6: Final answer
    x = 3,074.66

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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.