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Finding the Fourth Proportional to 11,867.14, 16,375.26 and 6,561.64

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Solution

The fourth proportional to 11,867.14, 16,375.26 and 6,561.64 is: 9,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.14 : 16,375.26 = 6,561.64 : x
  2. Step 2: Convert to fraction form
    11,867.14/16,375.26 = 6,561.64/x
  3. Step 3: Cross multiply
    11,867.14x = 16,375.26 × 6,561.64
  4. Step 4: Simplify right side
    11,867.14x = 107,448,561.03
  5. Step 5: Solve for x
    x = 107,448,561.03/11,867.14
  6. Step 6: Final answer
    x = 9,054.29

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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.