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Finding the Fourth Proportional to 8,500.20, 12,745.90 and 2,655.24

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Solution

The fourth proportional to 8,500.20, 12,745.90 and 2,655.24 is: 3,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.20 : 12,745.90 = 2,655.24 : x
  2. Step 2: Convert to fraction form
    8,500.20/12,745.90 = 2,655.24/x
  3. Step 3: Cross multiply
    8,500.20x = 12,745.90 × 2,655.24
  4. Step 4: Simplify right side
    8,500.20x = 33,843,423.52
  5. Step 5: Solve for x
    x = 33,843,423.52/8,500.20
  6. Step 6: Final answer
    x = 3,981.49

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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.