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Finding the Fourth Proportional to 8,534.22, 12,793.52 and 7,226.39

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Solution

The fourth proportional to 8,534.22, 12,793.52 and 7,226.39 is: 10,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.22 : 12,793.52 = 7,226.39 : x
  2. Step 2: Convert to fraction form
    8,534.22/12,793.52 = 7,226.39/x
  3. Step 3: Cross multiply
    8,534.22x = 12,793.52 × 7,226.39
  4. Step 4: Simplify right side
    8,534.22x = 92,450,864.89
  5. Step 5: Solve for x
    x = 92,450,864.89/8,534.22
  6. Step 6: Final answer
    x = 10,832.96

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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.