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Finding the Fourth Proportional to 11,882.63, 16,397.83 and 6,577.33

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Solution

The fourth proportional to 11,882.63, 16,397.83 and 6,577.33 is: 9,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.63 : 16,397.83 = 6,577.33 : x
  2. Step 2: Convert to fraction form
    11,882.63/16,397.83 = 6,577.33/x
  3. Step 3: Cross multiply
    11,882.63x = 16,397.83 × 6,577.33
  4. Step 4: Simplify right side
    11,882.63x = 107,853,939.19
  5. Step 5: Solve for x
    x = 107,853,939.19/11,882.63
  6. Step 6: Final answer
    x = 9,076.61

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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.