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Finding the Fourth Proportional to 8,340.31, 11,493.73 and 5,978.35

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Solution

The fourth proportional to 8,340.31, 11,493.73 and 5,978.35 is: 8,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.31 : 11,493.73 = 5,978.35 : x
  2. Step 2: Convert to fraction form
    8,340.31/11,493.73 = 5,978.35/x
  3. Step 3: Cross multiply
    8,340.31x = 11,493.73 × 5,978.35
  4. Step 4: Simplify right side
    8,340.31x = 68,713,562.59
  5. Step 5: Solve for x
    x = 68,713,562.59/8,340.31
  6. Step 6: Final answer
    x = 8,238.73

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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.