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Finding the Fourth Proportional to 10,690.24, 14,751.42 and 5,974.96

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Solution

The fourth proportional to 10,690.24, 14,751.42 and 5,974.96 is: 8,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.24 : 14,751.42 = 5,974.96 : x
  2. Step 2: Convert to fraction form
    10,690.24/14,751.42 = 5,974.96/x
  3. Step 3: Cross multiply
    10,690.24x = 14,751.42 × 5,974.96
  4. Step 4: Simplify right side
    10,690.24x = 88,139,144.44
  5. Step 5: Solve for x
    x = 88,139,144.44/10,690.24
  6. Step 6: Final answer
    x = 8,244.82

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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.