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Finding the Fourth Proportional to 8,564.89, 12,839.54 and 3,296.54

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Solution

The fourth proportional to 8,564.89, 12,839.54 and 3,296.54 is: 4,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.89 : 12,839.54 = 3,296.54 : x
  2. Step 2: Convert to fraction form
    8,564.89/12,839.54 = 3,296.54/x
  3. Step 3: Cross multiply
    8,564.89x = 12,839.54 × 3,296.54
  4. Step 4: Simplify right side
    8,564.89x = 42,325,976.51
  5. Step 5: Solve for x
    x = 42,325,976.51/8,564.89
  6. Step 6: Final answer
    x = 4,941.80

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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.