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Finding the Fourth Proportional to 11,648.72, 17,474.16 and 3,329.12

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Solution

The fourth proportional to 11,648.72, 17,474.16 and 3,329.12 is: 4,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.72 : 17,474.16 = 3,329.12 : x
  2. Step 2: Convert to fraction form
    11,648.72/17,474.16 = 3,329.12/x
  3. Step 3: Cross multiply
    11,648.72x = 17,474.16 × 3,329.12
  4. Step 4: Simplify right side
    11,648.72x = 58,173,575.54
  5. Step 5: Solve for x
    x = 58,173,575.54/11,648.72
  6. Step 6: Final answer
    x = 4,993.99

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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.