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Finding the Fourth Proportional to 11,642.08, 17,456.64 and 3,846.64

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Solution

The fourth proportional to 11,642.08, 17,456.64 and 3,846.64 is: 5,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.08 : 17,456.64 = 3,846.64 : x
  2. Step 2: Convert to fraction form
    11,642.08/17,456.64 = 3,846.64/x
  3. Step 3: Cross multiply
    11,642.08x = 17,456.64 × 3,846.64
  4. Step 4: Simplify right side
    11,642.08x = 67,149,409.69
  5. Step 5: Solve for x
    x = 67,149,409.69/11,642.08
  6. Step 6: Final answer
    x = 5,767.82

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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.