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Finding the Fourth Proportional to 25,912.50, 38,868.84 and 7,194

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Solution

The fourth proportional to 25,912.50, 38,868.84 and 7,194 is: 10,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.50 : 38,868.84 = 7,194 : x
  2. Step 2: Convert to fraction form
    25,912.50/38,868.84 = 7,194/x
  3. Step 3: Cross multiply
    25,912.50x = 38,868.84 × 7,194
  4. Step 4: Simplify right side
    25,912.50x = 279,622,434.96
  5. Step 5: Solve for x
    x = 279,622,434.96/25,912.50
  6. Step 6: Final answer
    x = 10,791.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.