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Finding the Fourth Proportional to 10,687.68, 16,014.72 and 8,219.52

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Solution

The fourth proportional to 10,687.68, 16,014.72 and 8,219.52 is: 12,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.68 : 16,014.72 = 8,219.52 : x
  2. Step 2: Convert to fraction form
    10,687.68/16,014.72 = 8,219.52/x
  3. Step 3: Cross multiply
    10,687.68x = 16,014.72 × 8,219.52
  4. Step 4: Simplify right side
    10,687.68x = 131,633,311.33
  5. Step 5: Solve for x
    x = 131,633,311.33/10,687.68
  6. Step 6: Final answer
    x = 12,316.36

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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.