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Finding the Fourth Proportional to 8,295.92, 12,444.23 and 2,749.75

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Solution

The fourth proportional to 8,295.92, 12,444.23 and 2,749.75 is: 4,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.92 : 12,444.23 = 2,749.75 : x
  2. Step 2: Convert to fraction form
    8,295.92/12,444.23 = 2,749.75/x
  3. Step 3: Cross multiply
    8,295.92x = 12,444.23 × 2,749.75
  4. Step 4: Simplify right side
    8,295.92x = 34,218,497.21
  5. Step 5: Solve for x
    x = 34,218,497.21/8,295.92
  6. Step 6: Final answer
    x = 4,124.74

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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.