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Finding the Fourth Proportional to 8,125.18, 12,188.10 and 2,578.40

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Solution

The fourth proportional to 8,125.18, 12,188.10 and 2,578.40 is: 3,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.18 : 12,188.10 = 2,578.40 : x
  2. Step 2: Convert to fraction form
    8,125.18/12,188.10 = 2,578.40/x
  3. Step 3: Cross multiply
    8,125.18x = 12,188.10 × 2,578.40
  4. Step 4: Simplify right side
    8,125.18x = 31,425,791.47
  5. Step 5: Solve for x
    x = 31,425,791.47/8,125.18
  6. Step 6: Final answer
    x = 3,867.71

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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.