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Finding the Fourth Proportional to 11,771.25, 16,245.77 and 6,803.25

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Solution

The fourth proportional to 11,771.25, 16,245.77 and 6,803.25 is: 9,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.25 : 16,245.77 = 6,803.25 : x
  2. Step 2: Convert to fraction form
    11,771.25/16,245.77 = 6,803.25/x
  3. Step 3: Cross multiply
    11,771.25x = 16,245.77 × 6,803.25
  4. Step 4: Simplify right side
    11,771.25x = 110,524,000.74
  5. Step 5: Solve for x
    x = 110,524,000.74/11,771.25
  6. Step 6: Final answer
    x = 9,389.32

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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.