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Finding the Fourth Proportional to 8,494.68, 12,732.84 and 3,567

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Solution

The fourth proportional to 8,494.68, 12,732.84 and 3,567 is: 5,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.68 : 12,732.84 = 3,567 : x
  2. Step 2: Convert to fraction form
    8,494.68/12,732.84 = 3,567/x
  3. Step 3: Cross multiply
    8,494.68x = 12,732.84 × 3,567
  4. Step 4: Simplify right side
    8,494.68x = 45,418,040.28
  5. Step 5: Solve for x
    x = 45,418,040.28/8,494.68
  6. Step 6: Final answer
    x = 5,346.65

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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.