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Finding the Fourth Proportional to 12,185.78, 16,816.38 and 6,596.78

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Solution

The fourth proportional to 12,185.78, 16,816.38 and 6,596.78 is: 9,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.78 : 16,816.38 = 6,596.78 : x
  2. Step 2: Convert to fraction form
    12,185.78/16,816.38 = 6,596.78/x
  3. Step 3: Cross multiply
    12,185.78x = 16,816.38 × 6,596.78
  4. Step 4: Simplify right side
    12,185.78x = 110,933,959.26
  5. Step 5: Solve for x
    x = 110,933,959.26/12,185.78
  6. Step 6: Final answer
    x = 9,103.56

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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.