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Finding the Fourth Proportional to 11,791.91, 16,272.20 and 6,485.87

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Solution

The fourth proportional to 11,791.91, 16,272.20 and 6,485.87 is: 8,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.91 : 16,272.20 = 6,485.87 : x
  2. Step 2: Convert to fraction form
    11,791.91/16,272.20 = 6,485.87/x
  3. Step 3: Cross multiply
    11,791.91x = 16,272.20 × 6,485.87
  4. Step 4: Simplify right side
    11,791.91x = 105,539,341.38
  5. Step 5: Solve for x
    x = 105,539,341.38/11,791.91
  6. Step 6: Final answer
    x = 8,950.15

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Why These Related Problems?

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