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Finding the Fourth Proportional to 11,766.97, 16,238.53 and 6,461.83

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Solution

The fourth proportional to 11,766.97, 16,238.53 and 6,461.83 is: 8,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.97 : 16,238.53 = 6,461.83 : x
  2. Step 2: Convert to fraction form
    11,766.97/16,238.53 = 6,461.83/x
  3. Step 3: Cross multiply
    11,766.97x = 16,238.53 × 6,461.83
  4. Step 4: Simplify right side
    11,766.97x = 104,930,521.00
  5. Step 5: Solve for x
    x = 104,930,521.00/11,766.97
  6. Step 6: Final answer
    x = 8,917.38

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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.