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Finding the Fourth Proportional to 8,142.56, 12,215.67 and 3,466.56

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Solution

The fourth proportional to 8,142.56, 12,215.67 and 3,466.56 is: 5,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.56 : 12,215.67 = 3,466.56 : x
  2. Step 2: Convert to fraction form
    8,142.56/12,215.67 = 3,466.56/x
  3. Step 3: Cross multiply
    8,142.56x = 12,215.67 × 3,466.56
  4. Step 4: Simplify right side
    8,142.56x = 42,346,353.00
  5. Step 5: Solve for x
    x = 42,346,353.00/8,142.56
  6. Step 6: Final answer
    x = 5,200.62

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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.