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Finding the Fourth Proportional to 11,434.80, 17,173.32 and 6,846

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Solution

The fourth proportional to 11,434.80, 17,173.32 and 6,846 is: 10,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.80 : 17,173.32 = 6,846 : x
  2. Step 2: Convert to fraction form
    11,434.80/17,173.32 = 6,846/x
  3. Step 3: Cross multiply
    11,434.80x = 17,173.32 × 6,846
  4. Step 4: Simplify right side
    11,434.80x = 117,568,548.72
  5. Step 5: Solve for x
    x = 117,568,548.72/11,434.80
  6. Step 6: Final answer
    x = 10,281.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.