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Finding the Fourth Proportional to 11,735.26, 17,597.63 and 6,993.66

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Solution

The fourth proportional to 11,735.26, 17,597.63 and 6,993.66 is: 10,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.26 : 17,597.63 = 6,993.66 : x
  2. Step 2: Convert to fraction form
    11,735.26/17,597.63 = 6,993.66/x
  3. Step 3: Cross multiply
    11,735.26x = 17,597.63 × 6,993.66
  4. Step 4: Simplify right side
    11,735.26x = 123,071,875.01
  5. Step 5: Solve for x
    x = 123,071,875.01/11,735.26
  6. Step 6: Final answer
    x = 10,487.36

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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.