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Finding the Fourth Proportional to 8,367.32, 12,548.34 and 3,029.82

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Solution

The fourth proportional to 8,367.32, 12,548.34 and 3,029.82 is: 4,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.32 : 12,548.34 = 3,029.82 : x
  2. Step 2: Convert to fraction form
    8,367.32/12,548.34 = 3,029.82/x
  3. Step 3: Cross multiply
    8,367.32x = 12,548.34 × 3,029.82
  4. Step 4: Simplify right side
    8,367.32x = 38,019,211.50
  5. Step 5: Solve for x
    x = 38,019,211.50/8,367.32
  6. Step 6: Final answer
    x = 4,543.78

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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.