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Finding the Fourth Proportional to 8,175.92, 11,284.68 and 5,189.36

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Solution

The fourth proportional to 8,175.92, 11,284.68 and 5,189.36 is: 7,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.92 : 11,284.68 = 5,189.36 : x
  2. Step 2: Convert to fraction form
    8,175.92/11,284.68 = 5,189.36/x
  3. Step 3: Cross multiply
    8,175.92x = 11,284.68 × 5,189.36
  4. Step 4: Simplify right side
    8,175.92x = 58,560,267.00
  5. Step 5: Solve for x
    x = 58,560,267.00/8,175.92
  6. Step 6: Final answer
    x = 7,162.53

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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.