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Finding the Fourth Proportional to 8,456.61, 12,674.13 and 4,014.27

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Solution

The fourth proportional to 8,456.61, 12,674.13 and 4,014.27 is: 6,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.61 : 12,674.13 = 4,014.27 : x
  2. Step 2: Convert to fraction form
    8,456.61/12,674.13 = 4,014.27/x
  3. Step 3: Cross multiply
    8,456.61x = 12,674.13 × 4,014.27
  4. Step 4: Simplify right side
    8,456.61x = 50,877,379.84
  5. Step 5: Solve for x
    x = 50,877,379.84/8,456.61
  6. Step 6: Final answer
    x = 6,016.29

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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.