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Finding the Fourth Proportional to 7,591.58, 10,476.33 and 4,234.43

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Solution

The fourth proportional to 7,591.58, 10,476.33 and 4,234.43 is: 5,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.58 : 10,476.33 = 4,234.43 : x
  2. Step 2: Convert to fraction form
    7,591.58/10,476.33 = 4,234.43/x
  3. Step 3: Cross multiply
    7,591.58x = 10,476.33 × 4,234.43
  4. Step 4: Simplify right side
    7,591.58x = 44,361,286.04
  5. Step 5: Solve for x
    x = 44,361,286.04/7,591.58
  6. Step 6: Final answer
    x = 5,843.49

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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.