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Finding the Fourth Proportional to 10,682.44, 14,741.76 and 5,966.82

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Solution

The fourth proportional to 10,682.44, 14,741.76 and 5,966.82 is: 8,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.44 : 14,741.76 = 5,966.82 : x
  2. Step 2: Convert to fraction form
    10,682.44/14,741.76 = 5,966.82/x
  3. Step 3: Cross multiply
    10,682.44x = 14,741.76 × 5,966.82
  4. Step 4: Simplify right side
    10,682.44x = 87,961,450.78
  5. Step 5: Solve for x
    x = 87,961,450.78/10,682.44
  6. Step 6: Final answer
    x = 8,234.21

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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.