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Finding the Fourth Proportional to 7,591.82, 11,380.95 and 4,083.71

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Solution

The fourth proportional to 7,591.82, 11,380.95 and 4,083.71 is: 6,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.82 : 11,380.95 = 4,083.71 : x
  2. Step 2: Convert to fraction form
    7,591.82/11,380.95 = 4,083.71/x
  3. Step 3: Cross multiply
    7,591.82x = 11,380.95 × 4,083.71
  4. Step 4: Simplify right side
    7,591.82x = 46,476,442.42
  5. Step 5: Solve for x
    x = 46,476,442.42/7,591.82
  6. Step 6: Final answer
    x = 6,121.91

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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.