Home / 11,825.31-17,738-4,804.03

Finding the Fourth Proportional to 11,825.31, 17,738 and 4,804.03

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Solution

The fourth proportional to 11,825.31, 17,738 and 4,804.03 is: 7,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.31 : 17,738 = 4,804.03 : x
  2. Step 2: Convert to fraction form
    11,825.31/17,738 = 4,804.03/x
  3. Step 3: Cross multiply
    11,825.31x = 17,738 × 4,804.03
  4. Step 4: Simplify right side
    11,825.31x = 85,213,884.14
  5. Step 5: Solve for x
    x = 85,213,884.14/11,825.31
  6. Step 6: Final answer
    x = 7,206.06

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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.