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Finding the Fourth Proportional to 8,125.92, 12,190.40 and 2,577.78

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Solution

The fourth proportional to 8,125.92, 12,190.40 and 2,577.78 is: 3,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.92 : 12,190.40 = 2,577.78 : x
  2. Step 2: Convert to fraction form
    8,125.92/12,190.40 = 2,577.78/x
  3. Step 3: Cross multiply
    8,125.92x = 12,190.40 × 2,577.78
  4. Step 4: Simplify right side
    8,125.92x = 31,424,169.31
  5. Step 5: Solve for x
    x = 31,424,169.31/8,125.92
  6. Step 6: Final answer
    x = 3,867.15

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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.