Home / 11,610.72-16,023.10-6,831

Finding the Fourth Proportional to 11,610.72, 16,023.10 and 6,831

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Solution

The fourth proportional to 11,610.72, 16,023.10 and 6,831 is: 9,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.72 : 16,023.10 = 6,831 : x
  2. Step 2: Convert to fraction form
    11,610.72/16,023.10 = 6,831/x
  3. Step 3: Cross multiply
    11,610.72x = 16,023.10 × 6,831
  4. Step 4: Simplify right side
    11,610.72x = 109,453,796.10
  5. Step 5: Solve for x
    x = 109,453,796.10/11,610.72
  6. Step 6: Final answer
    x = 9,426.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.