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Finding the Fourth Proportional to 8,494.95, 12,742.00 and 4,049.37

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Solution

The fourth proportional to 8,494.95, 12,742.00 and 4,049.37 is: 6,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.95 : 12,742.00 = 4,049.37 : x
  2. Step 2: Convert to fraction form
    8,494.95/12,742.00 = 4,049.37/x
  3. Step 3: Cross multiply
    8,494.95x = 12,742.00 × 4,049.37
  4. Step 4: Simplify right side
    8,494.95x = 51,597,094.27
  5. Step 5: Solve for x
    x = 51,597,094.27/8,494.95
  6. Step 6: Final answer
    x = 6,073.86

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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.