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Finding the Fourth Proportional to 8,456.28, 12,684.51 and 3,776.53

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Solution

The fourth proportional to 8,456.28, 12,684.51 and 3,776.53 is: 5,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.28 : 12,684.51 = 3,776.53 : x
  2. Step 2: Convert to fraction form
    8,456.28/12,684.51 = 3,776.53/x
  3. Step 3: Cross multiply
    8,456.28x = 12,684.51 × 3,776.53
  4. Step 4: Simplify right side
    8,456.28x = 47,903,448.41
  5. Step 5: Solve for x
    x = 47,903,448.41/8,456.28
  6. Step 6: Final answer
    x = 5,664.83

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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.