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Finding the Fourth Proportional to 11,645.76, 17,469.27 and 3,325.12

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Solution

The fourth proportional to 11,645.76, 17,469.27 and 3,325.12 is: 4,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.76 : 17,469.27 = 3,325.12 : x
  2. Step 2: Convert to fraction form
    11,645.76/17,469.27 = 3,325.12/x
  3. Step 3: Cross multiply
    11,645.76x = 17,469.27 × 3,325.12
  4. Step 4: Simplify right side
    11,645.76x = 58,087,419.06
  5. Step 5: Solve for x
    x = 58,087,419.06/11,645.76
  6. Step 6: Final answer
    x = 4,987.86

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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.