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Finding the Fourth Proportional to 8,147, 12,220.50 and 2,952.88

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Solution

The fourth proportional to 8,147, 12,220.50 and 2,952.88 is: 4,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147 : 12,220.50 = 2,952.88 : x
  2. Step 2: Convert to fraction form
    8,147/12,220.50 = 2,952.88/x
  3. Step 3: Cross multiply
    8,147x = 12,220.50 × 2,952.88
  4. Step 4: Simplify right side
    8,147x = 36,085,670.04
  5. Step 5: Solve for x
    x = 36,085,670.04/8,147
  6. Step 6: Final answer
    x = 4,429.32

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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.