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Finding the Fourth Proportional to 11,643.96, 17,466.09 and 3,323.97

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Solution

The fourth proportional to 11,643.96, 17,466.09 and 3,323.97 is: 4,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.96 : 17,466.09 = 3,323.97 : x
  2. Step 2: Convert to fraction form
    11,643.96/17,466.09 = 3,323.97/x
  3. Step 3: Cross multiply
    11,643.96x = 17,466.09 × 3,323.97
  4. Step 4: Simplify right side
    11,643.96x = 58,056,759.18
  5. Step 5: Solve for x
    x = 58,056,759.18/11,643.96
  6. Step 6: Final answer
    x = 4,986.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.