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Finding the Fourth Proportional to 8,449.86, 12,676.48 and 2,606.25

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Solution

The fourth proportional to 8,449.86, 12,676.48 and 2,606.25 is: 3,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.86 : 12,676.48 = 2,606.25 : x
  2. Step 2: Convert to fraction form
    8,449.86/12,676.48 = 2,606.25/x
  3. Step 3: Cross multiply
    8,449.86x = 12,676.48 × 2,606.25
  4. Step 4: Simplify right side
    8,449.86x = 33,038,069.48
  5. Step 5: Solve for x
    x = 33,038,069.48/8,449.86
  6. Step 6: Final answer
    x = 3,909.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.