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Finding the Fourth Proportional to 11,905.89, 16,425.89 and 6,871.38

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Solution

The fourth proportional to 11,905.89, 16,425.89 and 6,871.38 is: 9,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.89 : 16,425.89 = 6,871.38 : x
  2. Step 2: Convert to fraction form
    11,905.89/16,425.89 = 6,871.38/x
  3. Step 3: Cross multiply
    11,905.89x = 16,425.89 × 6,871.38
  4. Step 4: Simplify right side
    11,905.89x = 112,868,554.24
  5. Step 5: Solve for x
    x = 112,868,554.24/11,905.89
  6. Step 6: Final answer
    x = 9,480.06

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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.