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Finding the Fourth Proportional to 8,289.29, 12,426.59 and 3,295.16

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Solution

The fourth proportional to 8,289.29, 12,426.59 and 3,295.16 is: 4,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.29 : 12,426.59 = 3,295.16 : x
  2. Step 2: Convert to fraction form
    8,289.29/12,426.59 = 3,295.16/x
  3. Step 3: Cross multiply
    8,289.29x = 12,426.59 × 3,295.16
  4. Step 4: Simplify right side
    8,289.29x = 40,947,550.79
  5. Step 5: Solve for x
    x = 40,947,550.79/8,289.29
  6. Step 6: Final answer
    x = 4,939.82

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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.