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Finding the Fourth Proportional to 8,238.51, 11,367.54 and 6,663.87

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Solution

The fourth proportional to 8,238.51, 11,367.54 and 6,663.87 is: 9,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.51 : 11,367.54 = 6,663.87 : x
  2. Step 2: Convert to fraction form
    8,238.51/11,367.54 = 6,663.87/x
  3. Step 3: Cross multiply
    8,238.51x = 11,367.54 × 6,663.87
  4. Step 4: Simplify right side
    8,238.51x = 75,751,808.78
  5. Step 5: Solve for x
    x = 75,751,808.78/8,238.51
  6. Step 6: Final answer
    x = 9,194.84

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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.