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Finding the Fourth Proportional to 25,272.33, 37,902 and 7,498.79

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Solution

The fourth proportional to 25,272.33, 37,902 and 7,498.79 is: 11,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272.33 : 37,902 = 7,498.79 : x
  2. Step 2: Convert to fraction form
    25,272.33/37,902 = 7,498.79/x
  3. Step 3: Cross multiply
    25,272.33x = 37,902 × 7,498.79
  4. Step 4: Simplify right side
    25,272.33x = 284,218,949.07
  5. Step 5: Solve for x
    x = 284,218,949.07/25,272.33
  6. Step 6: Final answer
    x = 11,246.25

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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.