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Finding the Fourth Proportional to 8,171.68, 11,263.44 and 5,778.57

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Solution

The fourth proportional to 8,171.68, 11,263.44 and 5,778.57 is: 7,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.68 : 11,263.44 = 5,778.57 : x
  2. Step 2: Convert to fraction form
    8,171.68/11,263.44 = 5,778.57/x
  3. Step 3: Cross multiply
    8,171.68x = 11,263.44 × 5,778.57
  4. Step 4: Simplify right side
    8,171.68x = 65,086,555.91
  5. Step 5: Solve for x
    x = 65,086,555.91/8,171.68
  6. Step 6: Final answer
    x = 7,964.89

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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.