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Finding the Fourth Proportional to 10,207.69, 14,086.66 and 5,961.67

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Solution

The fourth proportional to 10,207.69, 14,086.66 and 5,961.67 is: 8,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.69 : 14,086.66 = 5,961.67 : x
  2. Step 2: Convert to fraction form
    10,207.69/14,086.66 = 5,961.67/x
  3. Step 3: Cross multiply
    10,207.69x = 14,086.66 × 5,961.67
  4. Step 4: Simplify right side
    10,207.69x = 83,979,979.38
  5. Step 5: Solve for x
    x = 83,979,979.38/10,207.69
  6. Step 6: Final answer
    x = 8,227.13

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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.