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Finding the Fourth Proportional to 7,494.57, 11,241.75 and 3,107.16

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Solution

The fourth proportional to 7,494.57, 11,241.75 and 3,107.16 is: 4,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.57 : 11,241.75 = 3,107.16 : x
  2. Step 2: Convert to fraction form
    7,494.57/11,241.75 = 3,107.16/x
  3. Step 3: Cross multiply
    7,494.57x = 11,241.75 × 3,107.16
  4. Step 4: Simplify right side
    7,494.57x = 34,929,915.93
  5. Step 5: Solve for x
    x = 34,929,915.93/7,494.57
  6. Step 6: Final answer
    x = 4,660.70

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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.