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Finding the Fourth Proportional to 11,604.30, 17,367.01 and 7,164.79

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Solution

The fourth proportional to 11,604.30, 17,367.01 and 7,164.79 is: 10,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.30 : 17,367.01 = 7,164.79 : x
  2. Step 2: Convert to fraction form
    11,604.30/17,367.01 = 7,164.79/x
  3. Step 3: Cross multiply
    11,604.30x = 17,367.01 × 7,164.79
  4. Step 4: Simplify right side
    11,604.30x = 124,430,979.58
  5. Step 5: Solve for x
    x = 124,430,979.58/11,604.30
  6. Step 6: Final answer
    x = 10,722.83

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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.