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Finding the Fourth Proportional to 8,003.42, 11,976.08 and 5,786.69

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Solution

The fourth proportional to 8,003.42, 11,976.08 and 5,786.69 is: 8,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.42 : 11,976.08 = 5,786.69 : x
  2. Step 2: Convert to fraction form
    8,003.42/11,976.08 = 5,786.69/x
  3. Step 3: Cross multiply
    8,003.42x = 11,976.08 × 5,786.69
  4. Step 4: Simplify right side
    8,003.42x = 69,301,818.47
  5. Step 5: Solve for x
    x = 69,301,818.47/8,003.42
  6. Step 6: Final answer
    x = 8,659.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.