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Finding the Fourth Proportional to 7,245.32, 9,998.38 and 4,101.44

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Solution

The fourth proportional to 7,245.32, 9,998.38 and 4,101.44 is: 5,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.32 : 9,998.38 = 4,101.44 : x
  2. Step 2: Convert to fraction form
    7,245.32/9,998.38 = 4,101.44/x
  3. Step 3: Cross multiply
    7,245.32x = 9,998.38 × 4,101.44
  4. Step 4: Simplify right side
    7,245.32x = 41,007,755.67
  5. Step 5: Solve for x
    x = 41,007,755.67/7,245.32
  6. Step 6: Final answer
    x = 5,659.90

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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.