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Finding the Fourth Proportional to 7,778.46, 11,660.49 and 2,583.42

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Solution

The fourth proportional to 7,778.46, 11,660.49 and 2,583.42 is: 3,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.46 : 11,660.49 = 2,583.42 : x
  2. Step 2: Convert to fraction form
    7,778.46/11,660.49 = 2,583.42/x
  3. Step 3: Cross multiply
    7,778.46x = 11,660.49 × 2,583.42
  4. Step 4: Simplify right side
    7,778.46x = 30,123,943.08
  5. Step 5: Solve for x
    x = 30,123,943.08/7,778.46
  6. Step 6: Final answer
    x = 3,872.74

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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.