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Finding the Fourth Proportional to 8,196.85, 12,292.25 and 2,930.44

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Solution

The fourth proportional to 8,196.85, 12,292.25 and 2,930.44 is: 4,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.85 : 12,292.25 = 2,930.44 : x
  2. Step 2: Convert to fraction form
    8,196.85/12,292.25 = 2,930.44/x
  3. Step 3: Cross multiply
    8,196.85x = 12,292.25 × 2,930.44
  4. Step 4: Simplify right side
    8,196.85x = 36,021,639.63
  5. Step 5: Solve for x
    x = 36,021,639.63/8,196.85
  6. Step 6: Final answer
    x = 4,394.57

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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.