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Finding the Fourth Proportional to 11,867.63, 16,375.91 and 6,561.72

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Solution

The fourth proportional to 11,867.63, 16,375.91 and 6,561.72 is: 9,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.63 : 16,375.91 = 6,561.72 : x
  2. Step 2: Convert to fraction form
    11,867.63/16,375.91 = 6,561.72/x
  3. Step 3: Cross multiply
    11,867.63x = 16,375.91 × 6,561.72
  4. Step 4: Simplify right side
    11,867.63x = 107,454,103.36
  5. Step 5: Solve for x
    x = 107,454,103.36/11,867.63
  6. Step 6: Final answer
    x = 9,054.39

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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.