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Finding the Fourth Proportional to 8,097.98, 11,161.77 and 6,416.42

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Solution

The fourth proportional to 8,097.98, 11,161.77 and 6,416.42 is: 8,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.98 : 11,161.77 = 6,416.42 : x
  2. Step 2: Convert to fraction form
    8,097.98/11,161.77 = 6,416.42/x
  3. Step 3: Cross multiply
    8,097.98x = 11,161.77 × 6,416.42
  4. Step 4: Simplify right side
    8,097.98x = 71,618,604.26
  5. Step 5: Solve for x
    x = 71,618,604.26/8,097.98
  6. Step 6: Final answer
    x = 8,844.01

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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.