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Finding the Fourth Proportional to 11,751.72, 16,216.74 and 6,716.40

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Solution

The fourth proportional to 11,751.72, 16,216.74 and 6,716.40 is: 9,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.72 : 16,216.74 = 6,716.40 : x
  2. Step 2: Convert to fraction form
    11,751.72/16,216.74 = 6,716.40/x
  3. Step 3: Cross multiply
    11,751.72x = 16,216.74 × 6,716.40
  4. Step 4: Simplify right side
    11,751.72x = 108,918,112.54
  5. Step 5: Solve for x
    x = 108,918,112.54/11,751.72
  6. Step 6: Final answer
    x = 9,268.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.