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Finding the Fourth Proportional to 10,450.72, 14,421.98 and 5,974.57

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Solution

The fourth proportional to 10,450.72, 14,421.98 and 5,974.57 is: 8,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.72 : 14,421.98 = 5,974.57 : x
  2. Step 2: Convert to fraction form
    10,450.72/14,421.98 = 5,974.57/x
  3. Step 3: Cross multiply
    10,450.72x = 14,421.98 × 5,974.57
  4. Step 4: Simplify right side
    10,450.72x = 86,165,107.93
  5. Step 5: Solve for x
    x = 86,165,107.93/10,450.72
  6. Step 6: Final answer
    x = 8,244.90

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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.