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Finding the Fourth Proportional to 8,115.86, 12,175.02 and 2,567.36

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Solution

The fourth proportional to 8,115.86, 12,175.02 and 2,567.36 is: 3,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.86 : 12,175.02 = 2,567.36 : x
  2. Step 2: Convert to fraction form
    8,115.86/12,175.02 = 2,567.36/x
  3. Step 3: Cross multiply
    8,115.86x = 12,175.02 × 2,567.36
  4. Step 4: Simplify right side
    8,115.86x = 31,257,659.35
  5. Step 5: Solve for x
    x = 31,257,659.35/8,115.86
  6. Step 6: Final answer
    x = 3,851.43

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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.