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Finding the Fourth Proportional to 25,835, 38,759 and 7,367

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Solution

The fourth proportional to 25,835, 38,759 and 7,367 is: 11,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835 : 38,759 = 7,367 : x
  2. Step 2: Convert to fraction form
    25,835/38,759 = 7,367/x
  3. Step 3: Cross multiply
    25,835x = 38,759 × 7,367
  4. Step 4: Simplify right side
    25,835x = 285,537,553
  5. Step 5: Solve for x
    x = 285,537,553/25,835
  6. Step 6: Final answer
    x = 11,052.35

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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.