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Finding the Fourth Proportional to 10,090.50, 13,924.89 and 5,899.56

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Solution

The fourth proportional to 10,090.50, 13,924.89 and 5,899.56 is: 8,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.50 : 13,924.89 = 5,899.56 : x
  2. Step 2: Convert to fraction form
    10,090.50/13,924.89 = 5,899.56/x
  3. Step 3: Cross multiply
    10,090.50x = 13,924.89 × 5,899.56
  4. Step 4: Simplify right side
    10,090.50x = 82,150,724.05
  5. Step 5: Solve for x
    x = 82,150,724.05/10,090.50
  6. Step 6: Final answer
    x = 8,141.39

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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.