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Finding the Fourth Proportional to 10,814.75, 16,222.14 and 2,606.75

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Solution

The fourth proportional to 10,814.75, 16,222.14 and 2,606.75 is: 3,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.75 : 16,222.14 = 2,606.75 : x
  2. Step 2: Convert to fraction form
    10,814.75/16,222.14 = 2,606.75/x
  3. Step 3: Cross multiply
    10,814.75x = 16,222.14 × 2,606.75
  4. Step 4: Simplify right side
    10,814.75x = 42,287,063.45
  5. Step 5: Solve for x
    x = 42,287,063.45/10,814.75
  6. Step 6: Final answer
    x = 3,910.13

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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.