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Finding the Fourth Proportional to 8,512.25, 12,751.97 and 7,123.50

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Solution

The fourth proportional to 8,512.25, 12,751.97 and 7,123.50 is: 10,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.25 : 12,751.97 = 7,123.50 : x
  2. Step 2: Convert to fraction form
    8,512.25/12,751.97 = 7,123.50/x
  3. Step 3: Cross multiply
    8,512.25x = 12,751.97 × 7,123.50
  4. Step 4: Simplify right side
    8,512.25x = 90,838,622.68
  5. Step 5: Solve for x
    x = 90,838,622.68/8,512.25
  6. Step 6: Final answer
    x = 10,671.52

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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.