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Finding the Fourth Proportional to 8,449.47, 12,676.23 and 2,606.09

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Solution

The fourth proportional to 8,449.47, 12,676.23 and 2,606.09 is: 3,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.47 : 12,676.23 = 2,606.09 : x
  2. Step 2: Convert to fraction form
    8,449.47/12,676.23 = 2,606.09/x
  3. Step 3: Cross multiply
    8,449.47x = 12,676.23 × 2,606.09
  4. Step 4: Simplify right side
    8,449.47x = 33,035,332.86
  5. Step 5: Solve for x
    x = 33,035,332.86/8,449.47
  6. Step 6: Final answer
    x = 3,909.75

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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.