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Finding the Fourth Proportional to 11,546.35, 17,321.34 and 4,974.41

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Solution

The fourth proportional to 11,546.35, 17,321.34 and 4,974.41 is: 7,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.35 : 17,321.34 = 4,974.41 : x
  2. Step 2: Convert to fraction form
    11,546.35/17,321.34 = 4,974.41/x
  3. Step 3: Cross multiply
    11,546.35x = 17,321.34 × 4,974.41
  4. Step 4: Simplify right side
    11,546.35x = 86,163,508.87
  5. Step 5: Solve for x
    x = 86,163,508.87/11,546.35
  6. Step 6: Final answer
    x = 7,462.40

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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.