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Finding the Fourth Proportional to 11,839.31, 16,337.37 and 6,803.54

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Solution

The fourth proportional to 11,839.31, 16,337.37 and 6,803.54 is: 9,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.31 : 16,337.37 = 6,803.54 : x
  2. Step 2: Convert to fraction form
    11,839.31/16,337.37 = 6,803.54/x
  3. Step 3: Cross multiply
    11,839.31x = 16,337.37 × 6,803.54
  4. Step 4: Simplify right side
    11,839.31x = 111,151,868.60
  5. Step 5: Solve for x
    x = 111,151,868.60/11,839.31
  6. Step 6: Final answer
    x = 9,388.38

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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.