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Finding the Fourth Proportional to 11,905.78, 16,425.74 and 6,871.27

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Solution

The fourth proportional to 11,905.78, 16,425.74 and 6,871.27 is: 9,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.78 : 16,425.74 = 6,871.27 : x
  2. Step 2: Convert to fraction form
    11,905.78/16,425.74 = 6,871.27/x
  3. Step 3: Cross multiply
    11,905.78x = 16,425.74 × 6,871.27
  4. Step 4: Simplify right side
    11,905.78x = 112,865,694.49
  5. Step 5: Solve for x
    x = 112,865,694.49/11,905.78
  6. Step 6: Final answer
    x = 9,479.91

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