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Finding the Fourth Proportional to 10,682.42, 14,743.22 and 5,967

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Solution

The fourth proportional to 10,682.42, 14,743.22 and 5,967 is: 8,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.42 : 14,743.22 = 5,967 : x
  2. Step 2: Convert to fraction form
    10,682.42/14,743.22 = 5,967/x
  3. Step 3: Cross multiply
    10,682.42x = 14,743.22 × 5,967
  4. Step 4: Simplify right side
    10,682.42x = 87,972,763.91
  5. Step 5: Solve for x
    x = 87,972,763.91/10,682.42
  6. Step 6: Final answer
    x = 8,235.29

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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.