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Finding the Fourth Proportional to 8,426.81, 12,641.84 and 3,232.28

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Solution

The fourth proportional to 8,426.81, 12,641.84 and 3,232.28 is: 4,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.81 : 12,641.84 = 3,232.28 : x
  2. Step 2: Convert to fraction form
    8,426.81/12,641.84 = 3,232.28/x
  3. Step 3: Cross multiply
    8,426.81x = 12,641.84 × 3,232.28
  4. Step 4: Simplify right side
    8,426.81x = 40,861,966.60
  5. Step 5: Solve for x
    x = 40,861,966.60/8,426.81
  6. Step 6: Final answer
    x = 4,849.04

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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.