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Finding the Fourth Proportional to 8,147.08, 12,224.10 and 2,600.88

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Solution

The fourth proportional to 8,147.08, 12,224.10 and 2,600.88 is: 3,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.08 : 12,224.10 = 2,600.88 : x
  2. Step 2: Convert to fraction form
    8,147.08/12,224.10 = 2,600.88/x
  3. Step 3: Cross multiply
    8,147.08x = 12,224.10 × 2,600.88
  4. Step 4: Simplify right side
    8,147.08x = 31,793,417.21
  5. Step 5: Solve for x
    x = 31,793,417.21/8,147.08
  6. Step 6: Final answer
    x = 3,902.43

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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.