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Finding the Fourth Proportional to 11,804.50, 17,707.56 and 3,907

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Solution

The fourth proportional to 11,804.50, 17,707.56 and 3,907 is: 5,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.50 : 17,707.56 = 3,907 : x
  2. Step 2: Convert to fraction form
    11,804.50/17,707.56 = 3,907/x
  3. Step 3: Cross multiply
    11,804.50x = 17,707.56 × 3,907
  4. Step 4: Simplify right side
    11,804.50x = 69,183,436.92
  5. Step 5: Solve for x
    x = 69,183,436.92/11,804.50
  6. Step 6: Final answer
    x = 5,860.77

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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.