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Finding the Fourth Proportional to 8,168.85, 11,271.84 and 4,631.38

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Solution

The fourth proportional to 8,168.85, 11,271.84 and 4,631.38 is: 6,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.85 : 11,271.84 = 4,631.38 : x
  2. Step 2: Convert to fraction form
    8,168.85/11,271.84 = 4,631.38/x
  3. Step 3: Cross multiply
    8,168.85x = 11,271.84 × 4,631.38
  4. Step 4: Simplify right side
    8,168.85x = 52,204,117.98
  5. Step 5: Solve for x
    x = 52,204,117.98/8,168.85
  6. Step 6: Final answer
    x = 6,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.