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Finding the Fourth Proportional to 8,955.96, 12,355.92 and 5,811

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Solution

The fourth proportional to 8,955.96, 12,355.92 and 5,811 is: 8,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,955.96 : 12,355.92 = 5,811 : x
  2. Step 2: Convert to fraction form
    8,955.96/12,355.92 = 5,811/x
  3. Step 3: Cross multiply
    8,955.96x = 12,355.92 × 5,811
  4. Step 4: Simplify right side
    8,955.96x = 71,800,251.12
  5. Step 5: Solve for x
    x = 71,800,251.12/8,955.96
  6. Step 6: Final answer
    x = 8,017.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.