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Finding the Fourth Proportional to 8,464.31, 12,705.53 and 7,163.96

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Solution

The fourth proportional to 8,464.31, 12,705.53 and 7,163.96 is: 10,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.31 : 12,705.53 = 7,163.96 : x
  2. Step 2: Convert to fraction form
    8,464.31/12,705.53 = 7,163.96/x
  3. Step 3: Cross multiply
    8,464.31x = 12,705.53 × 7,163.96
  4. Step 4: Simplify right side
    8,464.31x = 91,021,809.35
  5. Step 5: Solve for x
    x = 91,021,809.35/8,464.31
  6. Step 6: Final answer
    x = 10,753.60

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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.