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Finding the Fourth Proportional to 8,664.50, 12,998.35 and 2,742.88

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Solution

The fourth proportional to 8,664.50, 12,998.35 and 2,742.88 is: 4,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.50 : 12,998.35 = 2,742.88 : x
  2. Step 2: Convert to fraction form
    8,664.50/12,998.35 = 2,742.88/x
  3. Step 3: Cross multiply
    8,664.50x = 12,998.35 × 2,742.88
  4. Step 4: Simplify right side
    8,664.50x = 35,652,914.25
  5. Step 5: Solve for x
    x = 35,652,914.25/8,664.50
  6. Step 6: Final answer
    x = 4,114.83

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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.