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Finding the Fourth Proportional to 8,238.70, 12,365.34 and 7,786.72

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Solution

The fourth proportional to 8,238.70, 12,365.34 and 7,786.72 is: 11,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.70 : 12,365.34 = 7,786.72 : x
  2. Step 2: Convert to fraction form
    8,238.70/12,365.34 = 7,786.72/x
  3. Step 3: Cross multiply
    8,238.70x = 12,365.34 × 7,786.72
  4. Step 4: Simplify right side
    8,238.70x = 96,285,440.28
  5. Step 5: Solve for x
    x = 96,285,440.28/8,238.70
  6. Step 6: Final answer
    x = 11,686.97

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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.