Home / 7,829.82-11,741.91-2,282.06

Finding the Fourth Proportional to 7,829.82, 11,741.91 and 2,282.06

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Solution

The fourth proportional to 7,829.82, 11,741.91 and 2,282.06 is: 3,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.82 : 11,741.91 = 2,282.06 : x
  2. Step 2: Convert to fraction form
    7,829.82/11,741.91 = 2,282.06/x
  3. Step 3: Cross multiply
    7,829.82x = 11,741.91 × 2,282.06
  4. Step 4: Simplify right side
    7,829.82x = 26,795,684.43
  5. Step 5: Solve for x
    x = 26,795,684.43/7,829.82
  6. Step 6: Final answer
    x = 3,422.26

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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.