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Finding the Fourth Proportional to 10,900.31, 16,356.38 and 8,439.94

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Solution

The fourth proportional to 10,900.31, 16,356.38 and 8,439.94 is: 12,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.31 : 16,356.38 = 8,439.94 : x
  2. Step 2: Convert to fraction form
    10,900.31/16,356.38 = 8,439.94/x
  3. Step 3: Cross multiply
    10,900.31x = 16,356.38 × 8,439.94
  4. Step 4: Simplify right side
    10,900.31x = 138,046,782.73
  5. Step 5: Solve for x
    x = 138,046,782.73/10,900.31
  6. Step 6: Final answer
    x = 12,664.48

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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.