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Finding the Fourth Proportional to 7,630.12, 11,447 and 3,185.31

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Solution

The fourth proportional to 7,630.12, 11,447 and 3,185.31 is: 4,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.12 : 11,447 = 3,185.31 : x
  2. Step 2: Convert to fraction form
    7,630.12/11,447 = 3,185.31/x
  3. Step 3: Cross multiply
    7,630.12x = 11,447 × 3,185.31
  4. Step 4: Simplify right side
    7,630.12x = 36,462,243.57
  5. Step 5: Solve for x
    x = 36,462,243.57/7,630.12
  6. Step 6: Final answer
    x = 4,778.72

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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.