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Finding the Fourth Proportional to 11,676.59, 16,114.09 and 6,371.70

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Solution

The fourth proportional to 11,676.59, 16,114.09 and 6,371.70 is: 8,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.59 : 16,114.09 = 6,371.70 : x
  2. Step 2: Convert to fraction form
    11,676.59/16,114.09 = 6,371.70/x
  3. Step 3: Cross multiply
    11,676.59x = 16,114.09 × 6,371.70
  4. Step 4: Simplify right side
    11,676.59x = 102,674,101.28
  5. Step 5: Solve for x
    x = 102,674,101.28/11,676.59
  6. Step 6: Final answer
    x = 8,793.16

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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.