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Finding the Fourth Proportional to 10,813.27, 16,208.86 and 6,867.41

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Solution

The fourth proportional to 10,813.27, 16,208.86 and 6,867.41 is: 10,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.27 : 16,208.86 = 6,867.41 : x
  2. Step 2: Convert to fraction form
    10,813.27/16,208.86 = 6,867.41/x
  3. Step 3: Cross multiply
    10,813.27x = 16,208.86 × 6,867.41
  4. Step 4: Simplify right side
    10,813.27x = 111,312,847.50
  5. Step 5: Solve for x
    x = 111,312,847.50/10,813.27
  6. Step 6: Final answer
    x = 10,294.09

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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.