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Finding the Fourth Proportional to 8,406.31, 12,609.33 and 2,859.58

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Solution

The fourth proportional to 8,406.31, 12,609.33 and 2,859.58 is: 4,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.31 : 12,609.33 = 2,859.58 : x
  2. Step 2: Convert to fraction form
    8,406.31/12,609.33 = 2,859.58/x
  3. Step 3: Cross multiply
    8,406.31x = 12,609.33 × 2,859.58
  4. Step 4: Simplify right side
    8,406.31x = 36,057,387.88
  5. Step 5: Solve for x
    x = 36,057,387.88/8,406.31
  6. Step 6: Final answer
    x = 4,289.32

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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.