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Finding the Fourth Proportional to 8,125.61, 12,189.74 and 2,578.95

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Solution

The fourth proportional to 8,125.61, 12,189.74 and 2,578.95 is: 3,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.61 : 12,189.74 = 2,578.95 : x
  2. Step 2: Convert to fraction form
    8,125.61/12,189.74 = 2,578.95/x
  3. Step 3: Cross multiply
    8,125.61x = 12,189.74 × 2,578.95
  4. Step 4: Simplify right side
    8,125.61x = 31,436,717.08
  5. Step 5: Solve for x
    x = 31,436,717.08/8,125.61
  6. Step 6: Final answer
    x = 3,868.85

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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.