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Finding the Fourth Proportional to 11,588.56, 17,364.96 and 7,825.60

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Solution

The fourth proportional to 11,588.56, 17,364.96 and 7,825.60 is: 11,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.56 : 17,364.96 = 7,825.60 : x
  2. Step 2: Convert to fraction form
    11,588.56/17,364.96 = 7,825.60/x
  3. Step 3: Cross multiply
    11,588.56x = 17,364.96 × 7,825.60
  4. Step 4: Simplify right side
    11,588.56x = 135,891,230.98
  5. Step 5: Solve for x
    x = 135,891,230.98/11,588.56
  6. Step 6: Final answer
    x = 11,726.33

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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.