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Finding the Fourth Proportional to 11,586.78, 17,382.60 and 3,796.20

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Solution

The fourth proportional to 11,586.78, 17,382.60 and 3,796.20 is: 5,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.78 : 17,382.60 = 3,796.20 : x
  2. Step 2: Convert to fraction form
    11,586.78/17,382.60 = 3,796.20/x
  3. Step 3: Cross multiply
    11,586.78x = 17,382.60 × 3,796.20
  4. Step 4: Simplify right side
    11,586.78x = 65,987,826.12
  5. Step 5: Solve for x
    x = 65,987,826.12/11,586.78
  6. Step 6: Final answer
    x = 5,695.10

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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.