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Finding the Fourth Proportional to 8,664.42, 12,991.17 and 3,664.20

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Solution

The fourth proportional to 8,664.42, 12,991.17 and 3,664.20 is: 5,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.42 : 12,991.17 = 3,664.20 : x
  2. Step 2: Convert to fraction form
    8,664.42/12,991.17 = 3,664.20/x
  3. Step 3: Cross multiply
    8,664.42x = 12,991.17 × 3,664.20
  4. Step 4: Simplify right side
    8,664.42x = 47,602,245.11
  5. Step 5: Solve for x
    x = 47,602,245.11/8,664.42
  6. Step 6: Final answer
    x = 5,493.99

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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.