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Finding the Fourth Proportional to 8,197.35, 12,293 and 2,930.94

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Solution

The fourth proportional to 8,197.35, 12,293 and 2,930.94 is: 4,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.35 : 12,293 = 2,930.94 : x
  2. Step 2: Convert to fraction form
    8,197.35/12,293 = 2,930.94/x
  3. Step 3: Cross multiply
    8,197.35x = 12,293 × 2,930.94
  4. Step 4: Simplify right side
    8,197.35x = 36,029,983.96
  5. Step 5: Solve for x
    x = 36,029,983.96/8,197.35
  6. Step 6: Final answer
    x = 4,395.32

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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.