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Finding the Fourth Proportional to 11,546.65, 17,321.79 and 3,753.64

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Solution

The fourth proportional to 11,546.65, 17,321.79 and 3,753.64 is: 5,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.65 : 17,321.79 = 3,753.64 : x
  2. Step 2: Convert to fraction form
    11,546.65/17,321.79 = 3,753.64/x
  3. Step 3: Cross multiply
    11,546.65x = 17,321.79 × 3,753.64
  4. Step 4: Simplify right side
    11,546.65x = 65,019,763.82
  5. Step 5: Solve for x
    x = 65,019,763.82/11,546.65
  6. Step 6: Final answer
    x = 5,631.05

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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.