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Finding the Fourth Proportional to 10,382.97, 14,328.01 and 5,906.31

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Solution

The fourth proportional to 10,382.97, 14,328.01 and 5,906.31 is: 8,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.97 : 14,328.01 = 5,906.31 : x
  2. Step 2: Convert to fraction form
    10,382.97/14,328.01 = 5,906.31/x
  3. Step 3: Cross multiply
    10,382.97x = 14,328.01 × 5,906.31
  4. Step 4: Simplify right side
    10,382.97x = 84,625,589.17
  5. Step 5: Solve for x
    x = 84,625,589.17/10,382.97
  6. Step 6: Final answer
    x = 8,150.42

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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.