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Finding the Fourth Proportional to 7,414.82, 11,114.84 and 6,102.62

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Solution

The fourth proportional to 7,414.82, 11,114.84 and 6,102.62 is: 9,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.82 : 11,114.84 = 6,102.62 : x
  2. Step 2: Convert to fraction form
    7,414.82/11,114.84 = 6,102.62/x
  3. Step 3: Cross multiply
    7,414.82x = 11,114.84 × 6,102.62
  4. Step 4: Simplify right side
    7,414.82x = 67,829,644.88
  5. Step 5: Solve for x
    x = 67,829,644.88/7,414.82
  6. Step 6: Final answer
    x = 9,147.85

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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.