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Finding the Fourth Proportional to 10,682.79, 14,742.57 and 5,966.97

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Solution

The fourth proportional to 10,682.79, 14,742.57 and 5,966.97 is: 8,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.79 : 14,742.57 = 5,966.97 : x
  2. Step 2: Convert to fraction form
    10,682.79/14,742.57 = 5,966.97/x
  3. Step 3: Cross multiply
    10,682.79x = 14,742.57 × 5,966.97
  4. Step 4: Simplify right side
    10,682.79x = 87,968,443.08
  5. Step 5: Solve for x
    x = 87,968,443.08/10,682.79
  6. Step 6: Final answer
    x = 8,234.59

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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.