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Finding the Fourth Proportional to 11,809.38, 17,714.07 and 5,957.94

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Solution

The fourth proportional to 11,809.38, 17,714.07 and 5,957.94 is: 8,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.38 : 17,714.07 = 5,957.94 : x
  2. Step 2: Convert to fraction form
    11,809.38/17,714.07 = 5,957.94/x
  3. Step 3: Cross multiply
    11,809.38x = 17,714.07 × 5,957.94
  4. Step 4: Simplify right side
    11,809.38x = 105,539,366.22
  5. Step 5: Solve for x
    x = 105,539,366.22/11,809.38
  6. Step 6: Final answer
    x = 8,936.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.