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Finding the Fourth Proportional to 11,852.86, 16,343.30 and 8,078.31

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Solution

The fourth proportional to 11,852.86, 16,343.30 and 8,078.31 is: 11,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.86 : 16,343.30 = 8,078.31 : x
  2. Step 2: Convert to fraction form
    11,852.86/16,343.30 = 8,078.31/x
  3. Step 3: Cross multiply
    11,852.86x = 16,343.30 × 8,078.31
  4. Step 4: Simplify right side
    11,852.86x = 132,026,243.82
  5. Step 5: Solve for x
    x = 132,026,243.82/11,852.86
  6. Step 6: Final answer
    x = 11,138.77

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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.