Home / 10,682-16,025.44-4,111.28

Finding the Fourth Proportional to 10,682, 16,025.44 and 4,111.28

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Solution

The fourth proportional to 10,682, 16,025.44 and 4,111.28 is: 6,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682 : 16,025.44 = 4,111.28 : x
  2. Step 2: Convert to fraction form
    10,682/16,025.44 = 4,111.28/x
  3. Step 3: Cross multiply
    10,682x = 16,025.44 × 4,111.28
  4. Step 4: Simplify right side
    10,682x = 65,885,070.96
  5. Step 5: Solve for x
    x = 65,885,070.96/10,682
  6. Step 6: Final answer
    x = 6,167.86

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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.