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Finding the Fourth Proportional to 7,858.76, 11,789.94 and 2,664.60

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Solution

The fourth proportional to 7,858.76, 11,789.94 and 2,664.60 is: 3,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.76 : 11,789.94 = 2,664.60 : x
  2. Step 2: Convert to fraction form
    7,858.76/11,789.94 = 2,664.60/x
  3. Step 3: Cross multiply
    7,858.76x = 11,789.94 × 2,664.60
  4. Step 4: Simplify right side
    7,858.76x = 31,415,474.12
  5. Step 5: Solve for x
    x = 31,415,474.12/7,858.76
  6. Step 6: Final answer
    x = 3,997.51

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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.