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Finding the Fourth Proportional to 8,564.39, 12,838.79 and 3,296.03

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Solution

The fourth proportional to 8,564.39, 12,838.79 and 3,296.03 is: 4,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.39 : 12,838.79 = 3,296.03 : x
  2. Step 2: Convert to fraction form
    8,564.39/12,838.79 = 3,296.03/x
  3. Step 3: Cross multiply
    8,564.39x = 12,838.79 × 3,296.03
  4. Step 4: Simplify right side
    8,564.39x = 42,317,052.62
  5. Step 5: Solve for x
    x = 42,317,052.62/8,564.39
  6. Step 6: Final answer
    x = 4,941.05

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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.