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Finding the Fourth Proportional to 10,682.82, 14,742.59 and 5,967.41

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Solution

The fourth proportional to 10,682.82, 14,742.59 and 5,967.41 is: 8,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.82 : 14,742.59 = 5,967.41 : x
  2. Step 2: Convert to fraction form
    10,682.82/14,742.59 = 5,967.41/x
  3. Step 3: Cross multiply
    10,682.82x = 14,742.59 × 5,967.41
  4. Step 4: Simplify right side
    10,682.82x = 87,974,975.44
  5. Step 5: Solve for x
    x = 87,974,975.44/10,682.82
  6. Step 6: Final answer
    x = 8,235.18

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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.