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Finding the Fourth Proportional to 8,362.69, 11,540.16 and 5,007.38

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Solution

The fourth proportional to 8,362.69, 11,540.16 and 5,007.38 is: 6,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.69 : 11,540.16 = 5,007.38 : x
  2. Step 2: Convert to fraction form
    8,362.69/11,540.16 = 5,007.38/x
  3. Step 3: Cross multiply
    8,362.69x = 11,540.16 × 5,007.38
  4. Step 4: Simplify right side
    8,362.69x = 57,785,908.68
  5. Step 5: Solve for x
    x = 57,785,908.68/8,362.69
  6. Step 6: Final answer
    x = 6,909.97

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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.