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Finding the Fourth Proportional to 8,125.79, 12,185.03 and 2,578.10

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Solution

The fourth proportional to 8,125.79, 12,185.03 and 2,578.10 is: 3,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.79 : 12,185.03 = 2,578.10 : x
  2. Step 2: Convert to fraction form
    8,125.79/12,185.03 = 2,578.10/x
  3. Step 3: Cross multiply
    8,125.79x = 12,185.03 × 2,578.10
  4. Step 4: Simplify right side
    8,125.79x = 31,414,171.36
  5. Step 5: Solve for x
    x = 31,414,171.36/8,125.79
  6. Step 6: Final answer
    x = 3,865.99

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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.