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Finding the Fourth Proportional to 10,814.64, 16,234.10 and 8,378.83

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Solution

The fourth proportional to 10,814.64, 16,234.10 and 8,378.83 is: 12,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.64 : 16,234.10 = 8,378.83 : x
  2. Step 2: Convert to fraction form
    10,814.64/16,234.10 = 8,378.83/x
  3. Step 3: Cross multiply
    10,814.64x = 16,234.10 × 8,378.83
  4. Step 4: Simplify right side
    10,814.64x = 136,022,764.10
  5. Step 5: Solve for x
    x = 136,022,764.10/10,814.64
  6. Step 6: Final answer
    x = 12,577.65

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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.