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Finding the Fourth Proportional to 8,011.38, 11,057.67 and 4,869.66

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Solution

The fourth proportional to 8,011.38, 11,057.67 and 4,869.66 is: 6,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.38 : 11,057.67 = 4,869.66 : x
  2. Step 2: Convert to fraction form
    8,011.38/11,057.67 = 4,869.66/x
  3. Step 3: Cross multiply
    8,011.38x = 11,057.67 × 4,869.66
  4. Step 4: Simplify right side
    8,011.38x = 53,847,093.29
  5. Step 5: Solve for x
    x = 53,847,093.29/8,011.38
  6. Step 6: Final answer
    x = 6,721.33

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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.