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Finding the Fourth Proportional to 8,564.34, 12,846.26 and 3,880.96

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Solution

The fourth proportional to 8,564.34, 12,846.26 and 3,880.96 is: 5,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.34 : 12,846.26 = 3,880.96 : x
  2. Step 2: Convert to fraction form
    8,564.34/12,846.26 = 3,880.96/x
  3. Step 3: Cross multiply
    8,564.34x = 12,846.26 × 3,880.96
  4. Step 4: Simplify right side
    8,564.34x = 49,855,801.80
  5. Step 5: Solve for x
    x = 49,855,801.80/8,564.34
  6. Step 6: Final answer
    x = 5,821.33

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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.