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Finding the Fourth Proportional to 25,872.75, 38,809.26 and 7,404.75

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Solution

The fourth proportional to 25,872.75, 38,809.26 and 7,404.75 is: 11,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.75 : 38,809.26 = 7,404.75 : x
  2. Step 2: Convert to fraction form
    25,872.75/38,809.26 = 7,404.75/x
  3. Step 3: Cross multiply
    25,872.75x = 38,809.26 × 7,404.75
  4. Step 4: Simplify right side
    25,872.75x = 287,372,867.99
  5. Step 5: Solve for x
    x = 287,372,867.99/25,872.75
  6. Step 6: Final answer
    x = 11,107.16

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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.