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Finding the Fourth Proportional to 10,736.38, 14,816.82 and 6,020.29

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Solution

The fourth proportional to 10,736.38, 14,816.82 and 6,020.29 is: 8,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.38 : 14,816.82 = 6,020.29 : x
  2. Step 2: Convert to fraction form
    10,736.38/14,816.82 = 6,020.29/x
  3. Step 3: Cross multiply
    10,736.38x = 14,816.82 × 6,020.29
  4. Step 4: Simplify right side
    10,736.38x = 89,201,553.28
  5. Step 5: Solve for x
    x = 89,201,553.28/10,736.38
  6. Step 6: Final answer
    x = 8,308.35

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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.