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Finding the Fourth Proportional to 10,382.37, 14,326.92 and 5,906.22

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Solution

The fourth proportional to 10,382.37, 14,326.92 and 5,906.22 is: 8,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.37 : 14,326.92 = 5,906.22 : x
  2. Step 2: Convert to fraction form
    10,382.37/14,326.92 = 5,906.22/x
  3. Step 3: Cross multiply
    10,382.37x = 14,326.92 × 5,906.22
  4. Step 4: Simplify right side
    10,382.37x = 84,617,941.44
  5. Step 5: Solve for x
    x = 84,617,941.44/10,382.37
  6. Step 6: Final answer
    x = 8,150.16

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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.