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Finding the Fourth Proportional to 8,233.50, 12,342.96 and 6,150.99

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Solution

The fourth proportional to 8,233.50, 12,342.96 and 6,150.99 is: 9,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.50 : 12,342.96 = 6,150.99 : x
  2. Step 2: Convert to fraction form
    8,233.50/12,342.96 = 6,150.99/x
  3. Step 3: Cross multiply
    8,233.50x = 12,342.96 × 6,150.99
  4. Step 4: Simplify right side
    8,233.50x = 75,921,423.53
  5. Step 5: Solve for x
    x = 75,921,423.53/8,233.50
  6. Step 6: Final answer
    x = 9,221.04

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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.