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Finding the Fourth Proportional to 11,660.96, 16,092.38 and 6,356.04

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Solution

The fourth proportional to 11,660.96, 16,092.38 and 6,356.04 is: 8,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.96 : 16,092.38 = 6,356.04 : x
  2. Step 2: Convert to fraction form
    11,660.96/16,092.38 = 6,356.04/x
  3. Step 3: Cross multiply
    11,660.96x = 16,092.38 × 6,356.04
  4. Step 4: Simplify right side
    11,660.96x = 102,283,810.98
  5. Step 5: Solve for x
    x = 102,283,810.98/11,660.96
  6. Step 6: Final answer
    x = 8,771.47

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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.