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Finding the Fourth Proportional to 11,588.25, 17,382.92 and 3,380.25

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Solution

The fourth proportional to 11,588.25, 17,382.92 and 3,380.25 is: 5,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.25 : 17,382.92 = 3,380.25 : x
  2. Step 2: Convert to fraction form
    11,588.25/17,382.92 = 3,380.25/x
  3. Step 3: Cross multiply
    11,588.25x = 17,382.92 × 3,380.25
  4. Step 4: Simplify right side
    11,588.25x = 58,758,598.43
  5. Step 5: Solve for x
    x = 58,758,598.43/11,588.25
  6. Step 6: Final answer
    x = 5,070.53

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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.