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Finding the Fourth Proportional to 10,682.41, 14,741.96 and 5,966.70

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Solution

The fourth proportional to 10,682.41, 14,741.96 and 5,966.70 is: 8,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.41 : 14,741.96 = 5,966.70 : x
  2. Step 2: Convert to fraction form
    10,682.41/14,741.96 = 5,966.70/x
  3. Step 3: Cross multiply
    10,682.41x = 14,741.96 × 5,966.70
  4. Step 4: Simplify right side
    10,682.41x = 87,960,852.73
  5. Step 5: Solve for x
    x = 87,960,852.73/10,682.41
  6. Step 6: Final answer
    x = 8,234.18

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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.