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Finding the Fourth Proportional to 10,222.66, 14,107.42 and 5,974.84

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Solution

The fourth proportional to 10,222.66, 14,107.42 and 5,974.84 is: 8,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.66 : 14,107.42 = 5,974.84 : x
  2. Step 2: Convert to fraction form
    10,222.66/14,107.42 = 5,974.84/x
  3. Step 3: Cross multiply
    10,222.66x = 14,107.42 × 5,974.84
  4. Step 4: Simplify right side
    10,222.66x = 84,289,577.31
  5. Step 5: Solve for x
    x = 84,289,577.31/10,222.66
  6. Step 6: Final answer
    x = 8,245.37

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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.