Home / 10,823.44-16,236-3,428.32

Finding the Fourth Proportional to 10,823.44, 16,236 and 3,428.32

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Solution

The fourth proportional to 10,823.44, 16,236 and 3,428.32 is: 5,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.44 : 16,236 = 3,428.32 : x
  2. Step 2: Convert to fraction form
    10,823.44/16,236 = 3,428.32/x
  3. Step 3: Cross multiply
    10,823.44x = 16,236 × 3,428.32
  4. Step 4: Simplify right side
    10,823.44x = 55,662,203.52
  5. Step 5: Solve for x
    x = 55,662,203.52/10,823.44
  6. Step 6: Final answer
    x = 5,142.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.