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Finding the Fourth Proportional to 8,520.66, 12,769.11 and 6,438.96

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Solution

The fourth proportional to 8,520.66, 12,769.11 and 6,438.96 is: 9,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.66 : 12,769.11 = 6,438.96 : x
  2. Step 2: Convert to fraction form
    8,520.66/12,769.11 = 6,438.96/x
  3. Step 3: Cross multiply
    8,520.66x = 12,769.11 × 6,438.96
  4. Step 4: Simplify right side
    8,520.66x = 82,219,788.53
  5. Step 5: Solve for x
    x = 82,219,788.53/8,520.66
  6. Step 6: Final answer
    x = 9,649.46

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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.