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Finding the Fourth Proportional to 11,348.36, 17,016 and 4,414.76

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Solution

The fourth proportional to 11,348.36, 17,016 and 4,414.76 is: 6,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.36 : 17,016 = 4,414.76 : x
  2. Step 2: Convert to fraction form
    11,348.36/17,016 = 4,414.76/x
  3. Step 3: Cross multiply
    11,348.36x = 17,016 × 4,414.76
  4. Step 4: Simplify right side
    11,348.36x = 75,121,556.16
  5. Step 5: Solve for x
    x = 75,121,556.16/11,348.36
  6. Step 6: Final answer
    x = 6,619.60

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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.