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Finding the Fourth Proportional to 11,739.84, 16,194.24 and 9,083.04

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Solution

The fourth proportional to 11,739.84, 16,194.24 and 9,083.04 is: 12,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.84 : 16,194.24 = 9,083.04 : x
  2. Step 2: Convert to fraction form
    11,739.84/16,194.24 = 9,083.04/x
  3. Step 3: Cross multiply
    11,739.84x = 16,194.24 × 9,083.04
  4. Step 4: Simplify right side
    11,739.84x = 147,092,929.69
  5. Step 5: Solve for x
    x = 147,092,929.69/11,739.84
  6. Step 6: Final answer
    x = 12,529.38

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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.