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Finding the Fourth Proportional to 25,274.26, 37,904.88 and 7,500.73

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Solution

The fourth proportional to 25,274.26, 37,904.88 and 7,500.73 is: 11,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.26 : 37,904.88 = 7,500.73 : x
  2. Step 2: Convert to fraction form
    25,274.26/37,904.88 = 7,500.73/x
  3. Step 3: Cross multiply
    25,274.26x = 37,904.88 × 7,500.73
  4. Step 4: Simplify right side
    25,274.26x = 284,314,270.56
  5. Step 5: Solve for x
    x = 284,314,270.56/25,274.26
  6. Step 6: Final answer
    x = 11,249.16

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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.