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Finding the Fourth Proportional to 8,146.34, 12,219.30 and 2,600.03

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Solution

The fourth proportional to 8,146.34, 12,219.30 and 2,600.03 is: 3,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.34 : 12,219.30 = 2,600.03 : x
  2. Step 2: Convert to fraction form
    8,146.34/12,219.30 = 2,600.03/x
  3. Step 3: Cross multiply
    8,146.34x = 12,219.30 × 2,600.03
  4. Step 4: Simplify right side
    8,146.34x = 31,770,485.48
  5. Step 5: Solve for x
    x = 31,770,485.48/8,146.34
  6. Step 6: Final answer
    x = 3,899.97

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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.