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Finding the Fourth Proportional to 8,691.36, 11,996.40 and 5,157.12

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Solution

The fourth proportional to 8,691.36, 11,996.40 and 5,157.12 is: 7,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.36 : 11,996.40 = 5,157.12 : x
  2. Step 2: Convert to fraction form
    8,691.36/11,996.40 = 5,157.12/x
  3. Step 3: Cross multiply
    8,691.36x = 11,996.40 × 5,157.12
  4. Step 4: Simplify right side
    8,691.36x = 61,866,874.37
  5. Step 5: Solve for x
    x = 61,866,874.37/8,691.36
  6. Step 6: Final answer
    x = 7,118.20

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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.