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Finding the Fourth Proportional to 8,456.94, 12,685.76 and 3,776.08

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Solution

The fourth proportional to 8,456.94, 12,685.76 and 3,776.08 is: 5,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.94 : 12,685.76 = 3,776.08 : x
  2. Step 2: Convert to fraction form
    8,456.94/12,685.76 = 3,776.08/x
  3. Step 3: Cross multiply
    8,456.94x = 12,685.76 × 3,776.08
  4. Step 4: Simplify right side
    8,456.94x = 47,902,444.62
  5. Step 5: Solve for x
    x = 47,902,444.62/8,456.94
  6. Step 6: Final answer
    x = 5,664.28

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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.