Home / 7,741.82-11,610.25-2,546.46

Finding the Fourth Proportional to 7,741.82, 11,610.25 and 2,546.46

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Solution

The fourth proportional to 7,741.82, 11,610.25 and 2,546.46 is: 3,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.82 : 11,610.25 = 2,546.46 : x
  2. Step 2: Convert to fraction form
    7,741.82/11,610.25 = 2,546.46/x
  3. Step 3: Cross multiply
    7,741.82x = 11,610.25 × 2,546.46
  4. Step 4: Simplify right side
    7,741.82x = 29,565,037.22
  5. Step 5: Solve for x
    x = 29,565,037.22/7,741.82
  6. Step 6: Final answer
    x = 3,818.87

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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.