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Finding the Fourth Proportional to 8,179.96, 12,270.22 and 2,558.13

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Solution

The fourth proportional to 8,179.96, 12,270.22 and 2,558.13 is: 3,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.96 : 12,270.22 = 2,558.13 : x
  2. Step 2: Convert to fraction form
    8,179.96/12,270.22 = 2,558.13/x
  3. Step 3: Cross multiply
    8,179.96x = 12,270.22 × 2,558.13
  4. Step 4: Simplify right side
    8,179.96x = 31,388,800.81
  5. Step 5: Solve for x
    x = 31,388,800.81/8,179.96
  6. Step 6: Final answer
    x = 3,837.28

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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.