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Finding the Fourth Proportional to 28,993.50, 43,497.54 and 8,217

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Solution

The fourth proportional to 28,993.50, 43,497.54 and 8,217 is: 12,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,993.50 : 43,497.54 = 8,217 : x
  2. Step 2: Convert to fraction form
    28,993.50/43,497.54 = 8,217/x
  3. Step 3: Cross multiply
    28,993.50x = 43,497.54 × 8,217
  4. Step 4: Simplify right side
    28,993.50x = 357,419,286.18
  5. Step 5: Solve for x
    x = 357,419,286.18/28,993.50
  6. Step 6: Final answer
    x = 12,327.57

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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.