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Finding the Fourth Proportional to 11,726, 16,181.92 and 6,758

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Solution

The fourth proportional to 11,726, 16,181.92 and 6,758 is: 9,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726 : 16,181.92 = 6,758 : x
  2. Step 2: Convert to fraction form
    11,726/16,181.92 = 6,758/x
  3. Step 3: Cross multiply
    11,726x = 16,181.92 × 6,758
  4. Step 4: Simplify right side
    11,726x = 109,357,415.36
  5. Step 5: Solve for x
    x = 109,357,415.36/11,726
  6. Step 6: Final answer
    x = 9,326.06

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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.