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Finding the Fourth Proportional to 11,752.95, 17,629.44 and 3,967.23

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Solution

The fourth proportional to 11,752.95, 17,629.44 and 3,967.23 is: 5,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.95 : 17,629.44 = 3,967.23 : x
  2. Step 2: Convert to fraction form
    11,752.95/17,629.44 = 3,967.23/x
  3. Step 3: Cross multiply
    11,752.95x = 17,629.44 × 3,967.23
  4. Step 4: Simplify right side
    11,752.95x = 69,940,043.25
  5. Step 5: Solve for x
    x = 69,940,043.25/11,752.95
  6. Step 6: Final answer
    x = 5,950.85

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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.