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Finding the Fourth Proportional to 8,367.50, 12,543.79 and 3,177.02

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Solution

The fourth proportional to 8,367.50, 12,543.79 and 3,177.02 is: 4,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.50 : 12,543.79 = 3,177.02 : x
  2. Step 2: Convert to fraction form
    8,367.50/12,543.79 = 3,177.02/x
  3. Step 3: Cross multiply
    8,367.50x = 12,543.79 × 3,177.02
  4. Step 4: Simplify right side
    8,367.50x = 39,851,793.10
  5. Step 5: Solve for x
    x = 39,851,793.10/8,367.50
  6. Step 6: Final answer
    x = 4,762.69

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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.