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Finding the Fourth Proportional to 11,791.77, 16,272.72 and 6,486.45

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Solution

The fourth proportional to 11,791.77, 16,272.72 and 6,486.45 is: 8,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.77 : 16,272.72 = 6,486.45 : x
  2. Step 2: Convert to fraction form
    11,791.77/16,272.72 = 6,486.45/x
  3. Step 3: Cross multiply
    11,791.77x = 16,272.72 × 6,486.45
  4. Step 4: Simplify right side
    11,791.77x = 105,552,184.64
  5. Step 5: Solve for x
    x = 105,552,184.64/11,791.77
  6. Step 6: Final answer
    x = 8,951.34

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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.