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Finding the Fourth Proportional to 8,466.71, 12,703.11 and 3,786.34

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Solution

The fourth proportional to 8,466.71, 12,703.11 and 3,786.34 is: 5,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.71 : 12,703.11 = 3,786.34 : x
  2. Step 2: Convert to fraction form
    8,466.71/12,703.11 = 3,786.34/x
  3. Step 3: Cross multiply
    8,466.71x = 12,703.11 × 3,786.34
  4. Step 4: Simplify right side
    8,466.71x = 48,098,293.52
  5. Step 5: Solve for x
    x = 48,098,293.52/8,466.71
  6. Step 6: Final answer
    x = 5,680.87

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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.