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Finding the Fourth Proportional to 7,907.88, 11,862.63 and 3,524.97

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Solution

The fourth proportional to 7,907.88, 11,862.63 and 3,524.97 is: 5,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.88 : 11,862.63 = 3,524.97 : x
  2. Step 2: Convert to fraction form
    7,907.88/11,862.63 = 3,524.97/x
  3. Step 3: Cross multiply
    7,907.88x = 11,862.63 × 3,524.97
  4. Step 4: Simplify right side
    7,907.88x = 41,815,414.87
  5. Step 5: Solve for x
    x = 41,815,414.87/7,907.88
  6. Step 6: Final answer
    x = 5,287.82

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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.