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Finding the Fourth Proportional to 7,838.64, 11,757.56 and 1,994.90

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Solution

The fourth proportional to 7,838.64, 11,757.56 and 1,994.90 is: 2,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.64 : 11,757.56 = 1,994.90 : x
  2. Step 2: Convert to fraction form
    7,838.64/11,757.56 = 1,994.90/x
  3. Step 3: Cross multiply
    7,838.64x = 11,757.56 × 1,994.90
  4. Step 4: Simplify right side
    7,838.64x = 23,455,087.68
  5. Step 5: Solve for x
    x = 23,455,087.68/7,838.64
  6. Step 6: Final answer
    x = 2,992.24

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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.