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Finding the Fourth Proportional to 11,546.87, 17,322.74 and 3,755.07

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Solution

The fourth proportional to 11,546.87, 17,322.74 and 3,755.07 is: 5,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.87 : 17,322.74 = 3,755.07 : x
  2. Step 2: Convert to fraction form
    11,546.87/17,322.74 = 3,755.07/x
  3. Step 3: Cross multiply
    11,546.87x = 17,322.74 × 3,755.07
  4. Step 4: Simplify right side
    11,546.87x = 65,048,082.52
  5. Step 5: Solve for x
    x = 65,048,082.52/11,546.87
  6. Step 6: Final answer
    x = 5,633.40

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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.