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Finding the Fourth Proportional to 11,955.44, 17,932.95 and 4,164.05

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Solution

The fourth proportional to 11,955.44, 17,932.95 and 4,164.05 is: 6,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.44 : 17,932.95 = 4,164.05 : x
  2. Step 2: Convert to fraction form
    11,955.44/17,932.95 = 4,164.05/x
  3. Step 3: Cross multiply
    11,955.44x = 17,932.95 × 4,164.05
  4. Step 4: Simplify right side
    11,955.44x = 74,673,745.28
  5. Step 5: Solve for x
    x = 74,673,745.28/11,955.44
  6. Step 6: Final answer
    x = 6,246.00

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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.