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Finding the Fourth Proportional to 11,486.25, 17,226.30 and 3,164.29

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Solution

The fourth proportional to 11,486.25, 17,226.30 and 3,164.29 is: 4,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.25 : 17,226.30 = 3,164.29 : x
  2. Step 2: Convert to fraction form
    11,486.25/17,226.30 = 3,164.29/x
  3. Step 3: Cross multiply
    11,486.25x = 17,226.30 × 3,164.29
  4. Step 4: Simplify right side
    11,486.25x = 54,508,953.90
  5. Step 5: Solve for x
    x = 54,508,953.90/11,486.25
  6. Step 6: Final answer
    x = 4,745.58

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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.