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Finding the Fourth Proportional to 7,613.50, 11,421.89 and 3,230.86

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Solution

The fourth proportional to 7,613.50, 11,421.89 and 3,230.86 is: 4,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.50 : 11,421.89 = 3,230.86 : x
  2. Step 2: Convert to fraction form
    7,613.50/11,421.89 = 3,230.86/x
  3. Step 3: Cross multiply
    7,613.50x = 11,421.89 × 3,230.86
  4. Step 4: Simplify right side
    7,613.50x = 36,902,527.53
  5. Step 5: Solve for x
    x = 36,902,527.53/7,613.50
  6. Step 6: Final answer
    x = 4,846.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.