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Finding the Fourth Proportional to 10,108.94, 13,949.96 and 5,917.10

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Solution

The fourth proportional to 10,108.94, 13,949.96 and 5,917.10 is: 8,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.94 : 13,949.96 = 5,917.10 : x
  2. Step 2: Convert to fraction form
    10,108.94/13,949.96 = 5,917.10/x
  3. Step 3: Cross multiply
    10,108.94x = 13,949.96 × 5,917.10
  4. Step 4: Simplify right side
    10,108.94x = 82,543,308.32
  5. Step 5: Solve for x
    x = 82,543,308.32/10,108.94
  6. Step 6: Final answer
    x = 8,165.38

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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.