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Finding the Fourth Proportional to 8,204.36, 12,304.71 and 2,656.26

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Solution

The fourth proportional to 8,204.36, 12,304.71 and 2,656.26 is: 3,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.36 : 12,304.71 = 2,656.26 : x
  2. Step 2: Convert to fraction form
    8,204.36/12,304.71 = 2,656.26/x
  3. Step 3: Cross multiply
    8,204.36x = 12,304.71 × 2,656.26
  4. Step 4: Simplify right side
    8,204.36x = 32,684,508.98
  5. Step 5: Solve for x
    x = 32,684,508.98/8,204.36
  6. Step 6: Final answer
    x = 3,983.80

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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.