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Finding the Fourth Proportional to 8,474.74, 12,682.60 and 5,141.05

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Solution

The fourth proportional to 8,474.74, 12,682.60 and 5,141.05 is: 7,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.74 : 12,682.60 = 5,141.05 : x
  2. Step 2: Convert to fraction form
    8,474.74/12,682.60 = 5,141.05/x
  3. Step 3: Cross multiply
    8,474.74x = 12,682.60 × 5,141.05
  4. Step 4: Simplify right side
    8,474.74x = 65,201,880.73
  5. Step 5: Solve for x
    x = 65,201,880.73/8,474.74
  6. Step 6: Final answer
    x = 7,693.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.