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Finding the Fourth Proportional to 8,676.96, 11,979.36 and 5,698

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Solution

The fourth proportional to 8,676.96, 11,979.36 and 5,698 is: 7,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.96 : 11,979.36 = 5,698 : x
  2. Step 2: Convert to fraction form
    8,676.96/11,979.36 = 5,698/x
  3. Step 3: Cross multiply
    8,676.96x = 11,979.36 × 5,698
  4. Step 4: Simplify right side
    8,676.96x = 68,258,393.28
  5. Step 5: Solve for x
    x = 68,258,393.28/8,676.96
  6. Step 6: Final answer
    x = 7,866.63

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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.