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Finding the Fourth Proportional to 25,275.70, 37,912.02 and 7,745.50

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Solution

The fourth proportional to 25,275.70, 37,912.02 and 7,745.50 is: 11,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275.70 : 37,912.02 = 7,745.50 : x
  2. Step 2: Convert to fraction form
    25,275.70/37,912.02 = 7,745.50/x
  3. Step 3: Cross multiply
    25,275.70x = 37,912.02 × 7,745.50
  4. Step 4: Simplify right side
    25,275.70x = 293,647,550.91
  5. Step 5: Solve for x
    x = 293,647,550.91/25,275.70
  6. Step 6: Final answer
    x = 11,617.78

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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.