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Finding the Fourth Proportional to 7,858.35, 11,777.80 and 3,960.63

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Solution

The fourth proportional to 7,858.35, 11,777.80 and 3,960.63 is: 5,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.35 : 11,777.80 = 3,960.63 : x
  2. Step 2: Convert to fraction form
    7,858.35/11,777.80 = 3,960.63/x
  3. Step 3: Cross multiply
    7,858.35x = 11,777.80 × 3,960.63
  4. Step 4: Simplify right side
    7,858.35x = 46,647,508.01
  5. Step 5: Solve for x
    x = 46,647,508.01/7,858.35
  6. Step 6: Final answer
    x = 5,936.04

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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.