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Finding the Fourth Proportional to 8,367.25, 12,543.41 and 3,176.77

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Solution

The fourth proportional to 8,367.25, 12,543.41 and 3,176.77 is: 4,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.25 : 12,543.41 = 3,176.77 : x
  2. Step 2: Convert to fraction form
    8,367.25/12,543.41 = 3,176.77/x
  3. Step 3: Cross multiply
    8,367.25x = 12,543.41 × 3,176.77
  4. Step 4: Simplify right side
    8,367.25x = 39,847,465.87
  5. Step 5: Solve for x
    x = 39,847,465.87/8,367.25
  6. Step 6: Final answer
    x = 4,762.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.