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Finding the Fourth Proportional to 7,778.95, 11,660.83 and 3,097.55

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Solution

The fourth proportional to 7,778.95, 11,660.83 and 3,097.55 is: 4,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.95 : 11,660.83 = 3,097.55 : x
  2. Step 2: Convert to fraction form
    7,778.95/11,660.83 = 3,097.55/x
  3. Step 3: Cross multiply
    7,778.95x = 11,660.83 × 3,097.55
  4. Step 4: Simplify right side
    7,778.95x = 36,120,025.37
  5. Step 5: Solve for x
    x = 36,120,025.37/7,778.95
  6. Step 6: Final answer
    x = 4,643.30

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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.