Home / 11,743.20-16,205.58-6,438

Finding the Fourth Proportional to 11,743.20, 16,205.58 and 6,438

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Solution

The fourth proportional to 11,743.20, 16,205.58 and 6,438 is: 8,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.20 : 16,205.58 = 6,438 : x
  2. Step 2: Convert to fraction form
    11,743.20/16,205.58 = 6,438/x
  3. Step 3: Cross multiply
    11,743.20x = 16,205.58 × 6,438
  4. Step 4: Simplify right side
    11,743.20x = 104,331,524.04
  5. Step 5: Solve for x
    x = 104,331,524.04/11,743.20
  6. Step 6: Final answer
    x = 8,884.42

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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.