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Finding the Fourth Proportional to 12,912.57, 19,370.79 and 5,517

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Solution

The fourth proportional to 12,912.57, 19,370.79 and 5,517 is: 8,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.57 : 19,370.79 = 5,517 : x
  2. Step 2: Convert to fraction form
    12,912.57/19,370.79 = 5,517/x
  3. Step 3: Cross multiply
    12,912.57x = 19,370.79 × 5,517
  4. Step 4: Simplify right side
    12,912.57x = 106,868,648.43
  5. Step 5: Solve for x
    x = 106,868,648.43/12,912.57
  6. Step 6: Final answer
    x = 8,276.33

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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.