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Finding the Fourth Proportional to 8,512.50, 12,759.28 and 6,425.74

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Solution

The fourth proportional to 8,512.50, 12,759.28 and 6,425.74 is: 9,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.50 : 12,759.28 = 6,425.74 : x
  2. Step 2: Convert to fraction form
    8,512.50/12,759.28 = 6,425.74/x
  3. Step 3: Cross multiply
    8,512.50x = 12,759.28 × 6,425.74
  4. Step 4: Simplify right side
    8,512.50x = 81,987,815.87
  5. Step 5: Solve for x
    x = 81,987,815.87/8,512.50
  6. Step 6: Final answer
    x = 9,631.46

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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.