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Finding the Fourth Proportional to 8,462.88, 12,693.24 and 3,267

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Solution

The fourth proportional to 8,462.88, 12,693.24 and 3,267 is: 4,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.88 : 12,693.24 = 3,267 : x
  2. Step 2: Convert to fraction form
    8,462.88/12,693.24 = 3,267/x
  3. Step 3: Cross multiply
    8,462.88x = 12,693.24 × 3,267
  4. Step 4: Simplify right side
    8,462.88x = 41,468,815.08
  5. Step 5: Solve for x
    x = 41,468,815.08/8,462.88
  6. Step 6: Final answer
    x = 4,900.08

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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.