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Finding the Fourth Proportional to 7,580.42, 11,372.14 and 3,197.86

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Solution

The fourth proportional to 7,580.42, 11,372.14 and 3,197.86 is: 4,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.42 : 11,372.14 = 3,197.86 : x
  2. Step 2: Convert to fraction form
    7,580.42/11,372.14 = 3,197.86/x
  3. Step 3: Cross multiply
    7,580.42x = 11,372.14 × 3,197.86
  4. Step 4: Simplify right side
    7,580.42x = 36,366,511.62
  5. Step 5: Solve for x
    x = 36,366,511.62/7,580.42
  6. Step 6: Final answer
    x = 4,797.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.