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Finding the Fourth Proportional to 7,837.89, 11,756.90 and 1,994.50

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Solution

The fourth proportional to 7,837.89, 11,756.90 and 1,994.50 is: 2,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.89 : 11,756.90 = 1,994.50 : x
  2. Step 2: Convert to fraction form
    7,837.89/11,756.90 = 1,994.50/x
  3. Step 3: Cross multiply
    7,837.89x = 11,756.90 × 1,994.50
  4. Step 4: Simplify right side
    7,837.89x = 23,449,137.05
  5. Step 5: Solve for x
    x = 23,449,137.05/7,837.89
  6. Step 6: Final answer
    x = 2,991.77

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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.