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Finding the Fourth Proportional to 11,883.69, 16,399.38 and 6,846.06

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Solution

The fourth proportional to 11,883.69, 16,399.38 and 6,846.06 is: 9,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.69 : 16,399.38 = 6,846.06 : x
  2. Step 2: Convert to fraction form
    11,883.69/16,399.38 = 6,846.06/x
  3. Step 3: Cross multiply
    11,883.69x = 16,399.38 × 6,846.06
  4. Step 4: Simplify right side
    11,883.69x = 112,271,139.44
  5. Step 5: Solve for x
    x = 112,271,139.44/11,883.69
  6. Step 6: Final answer
    x = 9,447.50

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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.