Home / 7,826.82-11,742.06-2,280.27

Finding the Fourth Proportional to 7,826.82, 11,742.06 and 2,280.27

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Solution

The fourth proportional to 7,826.82, 11,742.06 and 2,280.27 is: 3,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.82 : 11,742.06 = 2,280.27 : x
  2. Step 2: Convert to fraction form
    7,826.82/11,742.06 = 2,280.27/x
  3. Step 3: Cross multiply
    7,826.82x = 11,742.06 × 2,280.27
  4. Step 4: Simplify right side
    7,826.82x = 26,775,067.16
  5. Step 5: Solve for x
    x = 26,775,067.16/7,826.82
  6. Step 6: Final answer
    x = 3,420.94

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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.