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Finding the Fourth Proportional to 8,125.68, 12,186.08 and 2,578.80

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Solution

The fourth proportional to 8,125.68, 12,186.08 and 2,578.80 is: 3,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.68 : 12,186.08 = 2,578.80 : x
  2. Step 2: Convert to fraction form
    8,125.68/12,186.08 = 2,578.80/x
  3. Step 3: Cross multiply
    8,125.68x = 12,186.08 × 2,578.80
  4. Step 4: Simplify right side
    8,125.68x = 31,425,463.10
  5. Step 5: Solve for x
    x = 31,425,463.10/8,125.68
  6. Step 6: Final answer
    x = 3,867.43

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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.