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Finding the Fourth Proportional to 8,527.94, 12,790.92 and 2,288.42

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Solution

The fourth proportional to 8,527.94, 12,790.92 and 2,288.42 is: 3,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.94 : 12,790.92 = 2,288.42 : x
  2. Step 2: Convert to fraction form
    8,527.94/12,790.92 = 2,288.42/x
  3. Step 3: Cross multiply
    8,527.94x = 12,790.92 × 2,288.42
  4. Step 4: Simplify right side
    8,527.94x = 29,270,997.15
  5. Step 5: Solve for x
    x = 29,270,997.15/8,527.94
  6. Step 6: Final answer
    x = 3,432.36

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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.