Home / 7,837.82-11,754.36-3,156.32

Finding the Fourth Proportional to 7,837.82, 11,754.36 and 3,156.32

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Solution

The fourth proportional to 7,837.82, 11,754.36 and 3,156.32 is: 4,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.82 : 11,754.36 = 3,156.32 : x
  2. Step 2: Convert to fraction form
    7,837.82/11,754.36 = 3,156.32/x
  3. Step 3: Cross multiply
    7,837.82x = 11,754.36 × 3,156.32
  4. Step 4: Simplify right side
    7,837.82x = 37,100,521.56
  5. Step 5: Solve for x
    x = 37,100,521.56/7,837.82
  6. Step 6: Final answer
    x = 4,733.53

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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.