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Finding the Fourth Proportional to 7,834, 11,752.92 and 3,217

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Solution

The fourth proportional to 7,834, 11,752.92 and 3,217 is: 4,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 11,752.92 = 3,217 : x
  2. Step 2: Convert to fraction form
    7,834/11,752.92 = 3,217/x
  3. Step 3: Cross multiply
    7,834x = 11,752.92 × 3,217
  4. Step 4: Simplify right side
    7,834x = 37,809,143.64
  5. Step 5: Solve for x
    x = 37,809,143.64/7,834
  6. Step 6: Final answer
    x = 4,826.29

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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.