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Finding the Fourth Proportional to 8,493.68, 12,731.34 and 3,566

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Solution

The fourth proportional to 8,493.68, 12,731.34 and 3,566 is: 5,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.68 : 12,731.34 = 3,566 : x
  2. Step 2: Convert to fraction form
    8,493.68/12,731.34 = 3,566/x
  3. Step 3: Cross multiply
    8,493.68x = 12,731.34 × 3,566
  4. Step 4: Simplify right side
    8,493.68x = 45,399,958.44
  5. Step 5: Solve for x
    x = 45,399,958.44/8,493.68
  6. Step 6: Final answer
    x = 5,345.15

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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.