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Finding the Fourth Proportional to 11,571.30, 17,352.90 and 6,022.80

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Solution

The fourth proportional to 11,571.30, 17,352.90 and 6,022.80 is: 9,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.30 : 17,352.90 = 6,022.80 : x
  2. Step 2: Convert to fraction form
    11,571.30/17,352.90 = 6,022.80/x
  3. Step 3: Cross multiply
    11,571.30x = 17,352.90 × 6,022.80
  4. Step 4: Simplify right side
    11,571.30x = 104,513,046.12
  5. Step 5: Solve for x
    x = 104,513,046.12/11,571.30
  6. Step 6: Final answer
    x = 9,032.09

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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.