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Finding the Fourth Proportional to 7,856.50, 11,787.78 and 2,662.36

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Solution

The fourth proportional to 7,856.50, 11,787.78 and 2,662.36 is: 3,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.50 : 11,787.78 = 2,662.36 : x
  2. Step 2: Convert to fraction form
    7,856.50/11,787.78 = 2,662.36/x
  3. Step 3: Cross multiply
    7,856.50x = 11,787.78 × 2,662.36
  4. Step 4: Simplify right side
    7,856.50x = 31,383,313.96
  5. Step 5: Solve for x
    x = 31,383,313.96/7,856.50
  6. Step 6: Final answer
    x = 3,994.57

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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.