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Finding the Fourth Proportional to 8,472.43, 12,709.41 and 2,232.36

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Solution

The fourth proportional to 8,472.43, 12,709.41 and 2,232.36 is: 3,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.43 : 12,709.41 = 2,232.36 : x
  2. Step 2: Convert to fraction form
    8,472.43/12,709.41 = 2,232.36/x
  3. Step 3: Cross multiply
    8,472.43x = 12,709.41 × 2,232.36
  4. Step 4: Simplify right side
    8,472.43x = 28,371,970.14
  5. Step 5: Solve for x
    x = 28,371,970.14/8,472.43
  6. Step 6: Final answer
    x = 3,348.74

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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.