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Finding the Fourth Proportional to 8,125.96, 12,188.94 and 2,282.77

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Solution

The fourth proportional to 8,125.96, 12,188.94 and 2,282.77 is: 3,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.96 : 12,188.94 = 2,282.77 : x
  2. Step 2: Convert to fraction form
    8,125.96/12,188.94 = 2,282.77/x
  3. Step 3: Cross multiply
    8,125.96x = 12,188.94 × 2,282.77
  4. Step 4: Simplify right side
    8,125.96x = 27,824,546.56
  5. Step 5: Solve for x
    x = 27,824,546.56/8,125.96
  6. Step 6: Final answer
    x = 3,424.16

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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.