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Finding the Fourth Proportional to 25,296.87, 37,945.32 and 7,766.85

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Solution

The fourth proportional to 25,296.87, 37,945.32 and 7,766.85 is: 11,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.87 : 37,945.32 = 7,766.85 : x
  2. Step 2: Convert to fraction form
    25,296.87/37,945.32 = 7,766.85/x
  3. Step 3: Cross multiply
    25,296.87x = 37,945.32 × 7,766.85
  4. Step 4: Simplify right side
    25,296.87x = 294,715,608.64
  5. Step 5: Solve for x
    x = 294,715,608.64/25,296.87
  6. Step 6: Final answer
    x = 11,650.28

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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.