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Finding the Fourth Proportional to 8,272.38, 11,412.09 and 4,913.31

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Solution

The fourth proportional to 8,272.38, 11,412.09 and 4,913.31 is: 6,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.38 : 11,412.09 = 4,913.31 : x
  2. Step 2: Convert to fraction form
    8,272.38/11,412.09 = 4,913.31/x
  3. Step 3: Cross multiply
    8,272.38x = 11,412.09 × 4,913.31
  4. Step 4: Simplify right side
    8,272.38x = 56,071,135.92
  5. Step 5: Solve for x
    x = 56,071,135.92/8,272.38
  6. Step 6: Final answer
    x = 6,778.11

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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.