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Finding the Fourth Proportional to 7,435.46, 11,149.52 and 3,682.87

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Solution

The fourth proportional to 7,435.46, 11,149.52 and 3,682.87 is: 5,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.46 : 11,149.52 = 3,682.87 : x
  2. Step 2: Convert to fraction form
    7,435.46/11,149.52 = 3,682.87/x
  3. Step 3: Cross multiply
    7,435.46x = 11,149.52 × 3,682.87
  4. Step 4: Simplify right side
    7,435.46x = 41,062,186.43
  5. Step 5: Solve for x
    x = 41,062,186.43/7,435.46
  6. Step 6: Final answer
    x = 5,522.48

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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.