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Finding the Fourth Proportional to 8,196.87, 12,295.28 and 3,513.84

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Solution

The fourth proportional to 8,196.87, 12,295.28 and 3,513.84 is: 5,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.87 : 12,295.28 = 3,513.84 : x
  2. Step 2: Convert to fraction form
    8,196.87/12,295.28 = 3,513.84/x
  3. Step 3: Cross multiply
    8,196.87x = 12,295.28 × 3,513.84
  4. Step 4: Simplify right side
    8,196.87x = 43,203,642.28
  5. Step 5: Solve for x
    x = 43,203,642.28/8,196.87
  6. Step 6: Final answer
    x = 5,270.75

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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.