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Finding the Fourth Proportional to 7,778.10, 11,664.11 and 3,392.56

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Solution

The fourth proportional to 7,778.10, 11,664.11 and 3,392.56 is: 5,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.10 : 11,664.11 = 3,392.56 : x
  2. Step 2: Convert to fraction form
    7,778.10/11,664.11 = 3,392.56/x
  3. Step 3: Cross multiply
    7,778.10x = 11,664.11 × 3,392.56
  4. Step 4: Simplify right side
    7,778.10x = 39,571,193.02
  5. Step 5: Solve for x
    x = 39,571,193.02/7,778.10
  6. Step 6: Final answer
    x = 5,087.51

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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.