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Finding the Fourth Proportional to 8,456.43, 12,677.76 and 5,674.62

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Solution

The fourth proportional to 8,456.43, 12,677.76 and 5,674.62 is: 8,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.43 : 12,677.76 = 5,674.62 : x
  2. Step 2: Convert to fraction form
    8,456.43/12,677.76 = 5,674.62/x
  3. Step 3: Cross multiply
    8,456.43x = 12,677.76 × 5,674.62
  4. Step 4: Simplify right side
    8,456.43x = 71,941,470.45
  5. Step 5: Solve for x
    x = 71,941,470.45/8,456.43
  6. Step 6: Final answer
    x = 8,507.31

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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.