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Finding the Fourth Proportional to 8,467.47, 12,697.19 and 2,542.05

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Solution

The fourth proportional to 8,467.47, 12,697.19 and 2,542.05 is: 3,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.47 : 12,697.19 = 2,542.05 : x
  2. Step 2: Convert to fraction form
    8,467.47/12,697.19 = 2,542.05/x
  3. Step 3: Cross multiply
    8,467.47x = 12,697.19 × 2,542.05
  4. Step 4: Simplify right side
    8,467.47x = 32,276,879.13
  5. Step 5: Solve for x
    x = 32,276,879.13/8,467.47
  6. Step 6: Final answer
    x = 3,811.87

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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.