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Finding the Fourth Proportional to 11,907.87, 17,855.48 and 4,007.75

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Solution

The fourth proportional to 11,907.87, 17,855.48 and 4,007.75 is: 6,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.87 : 17,855.48 = 4,007.75 : x
  2. Step 2: Convert to fraction form
    11,907.87/17,855.48 = 4,007.75/x
  3. Step 3: Cross multiply
    11,907.87x = 17,855.48 × 4,007.75
  4. Step 4: Simplify right side
    11,907.87x = 71,560,287.67
  5. Step 5: Solve for x
    x = 71,560,287.67/11,907.87
  6. Step 6: Final answer
    x = 6,009.50

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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.