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Finding the Fourth Proportional to 11,868.09, 16,371.06 and 7,676.34

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Solution

The fourth proportional to 11,868.09, 16,371.06 and 7,676.34 is: 10,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.09 : 16,371.06 = 7,676.34 : x
  2. Step 2: Convert to fraction form
    11,868.09/16,371.06 = 7,676.34/x
  3. Step 3: Cross multiply
    11,868.09x = 16,371.06 × 7,676.34
  4. Step 4: Simplify right side
    11,868.09x = 125,669,822.72
  5. Step 5: Solve for x
    x = 125,669,822.72/11,868.09
  6. Step 6: Final answer
    x = 10,588.88

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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.