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Finding the Fourth Proportional to 8,167.85, 11,270.46 and 4,630.38

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Solution

The fourth proportional to 8,167.85, 11,270.46 and 4,630.38 is: 6,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.85 : 11,270.46 = 4,630.38 : x
  2. Step 2: Convert to fraction form
    8,167.85/11,270.46 = 4,630.38/x
  3. Step 3: Cross multiply
    8,167.85x = 11,270.46 × 4,630.38
  4. Step 4: Simplify right side
    8,167.85x = 52,186,456.22
  5. Step 5: Solve for x
    x = 52,186,456.22/8,167.85
  6. Step 6: Final answer
    x = 6,389.25

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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.