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Finding the Fourth Proportional to 8,645.43, 11,930.34 and 5,288.38

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Solution

The fourth proportional to 8,645.43, 11,930.34 and 5,288.38 is: 7,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.43 : 11,930.34 = 5,288.38 : x
  2. Step 2: Convert to fraction form
    8,645.43/11,930.34 = 5,288.38/x
  3. Step 3: Cross multiply
    8,645.43x = 11,930.34 × 5,288.38
  4. Step 4: Simplify right side
    8,645.43x = 63,092,171.45
  5. Step 5: Solve for x
    x = 63,092,171.45/8,645.43
  6. Step 6: Final answer
    x = 7,297.75

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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.