Home / 7,829.87-11,745.92-2,282.49

Finding the Fourth Proportional to 7,829.87, 11,745.92 and 2,282.49

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Solution

The fourth proportional to 7,829.87, 11,745.92 and 2,282.49 is: 3,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.87 : 11,745.92 = 2,282.49 : x
  2. Step 2: Convert to fraction form
    7,829.87/11,745.92 = 2,282.49/x
  3. Step 3: Cross multiply
    7,829.87x = 11,745.92 × 2,282.49
  4. Step 4: Simplify right side
    7,829.87x = 26,809,950.65
  5. Step 5: Solve for x
    x = 26,809,950.65/7,829.87
  6. Step 6: Final answer
    x = 3,424.06

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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.