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Finding the Fourth Proportional to 8,200.50, 12,300.75 and 2,658.48

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Solution

The fourth proportional to 8,200.50, 12,300.75 and 2,658.48 is: 3,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.50 : 12,300.75 = 2,658.48 : x
  2. Step 2: Convert to fraction form
    8,200.50/12,300.75 = 2,658.48/x
  3. Step 3: Cross multiply
    8,200.50x = 12,300.75 × 2,658.48
  4. Step 4: Simplify right side
    8,200.50x = 32,701,297.86
  5. Step 5: Solve for x
    x = 32,701,297.86/8,200.50
  6. Step 6: Final answer
    x = 3,987.72

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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.