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Finding the Fourth Proportional to 7,462.72, 11,194.08 and 3,083.86

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Solution

The fourth proportional to 7,462.72, 11,194.08 and 3,083.86 is: 4,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.72 : 11,194.08 = 3,083.86 : x
  2. Step 2: Convert to fraction form
    7,462.72/11,194.08 = 3,083.86/x
  3. Step 3: Cross multiply
    7,462.72x = 11,194.08 × 3,083.86
  4. Step 4: Simplify right side
    7,462.72x = 34,520,975.55
  5. Step 5: Solve for x
    x = 34,520,975.55/7,462.72
  6. Step 6: Final answer
    x = 4,625.79

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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.