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Finding the Fourth Proportional to 10,682.15, 14,742.41 and 5,966.73

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Solution

The fourth proportional to 10,682.15, 14,742.41 and 5,966.73 is: 8,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.15 : 14,742.41 = 5,966.73 : x
  2. Step 2: Convert to fraction form
    10,682.15/14,742.41 = 5,966.73/x
  3. Step 3: Cross multiply
    10,682.15x = 14,742.41 × 5,966.73
  4. Step 4: Simplify right side
    10,682.15x = 87,963,950.19
  5. Step 5: Solve for x
    x = 87,963,950.19/10,682.15
  6. Step 6: Final answer
    x = 8,234.67

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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.