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Finding the Fourth Proportional to 10,201.91, 14,079.11 and 5,952.29

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Solution

The fourth proportional to 10,201.91, 14,079.11 and 5,952.29 is: 8,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.91 : 14,079.11 = 5,952.29 : x
  2. Step 2: Convert to fraction form
    10,201.91/14,079.11 = 5,952.29/x
  3. Step 3: Cross multiply
    10,201.91x = 14,079.11 × 5,952.29
  4. Step 4: Simplify right side
    10,201.91x = 83,802,945.66
  5. Step 5: Solve for x
    x = 83,802,945.66/10,201.91
  6. Step 6: Final answer
    x = 8,214.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.