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Finding the Fourth Proportional to 8,196.42, 12,286.32 and 3,519.48

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Solution

The fourth proportional to 8,196.42, 12,286.32 and 3,519.48 is: 5,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.42 : 12,286.32 = 3,519.48 : x
  2. Step 2: Convert to fraction form
    8,196.42/12,286.32 = 3,519.48/x
  3. Step 3: Cross multiply
    8,196.42x = 12,286.32 × 3,519.48
  4. Step 4: Simplify right side
    8,196.42x = 43,241,457.51
  5. Step 5: Solve for x
    x = 43,241,457.51/8,196.42
  6. Step 6: Final answer
    x = 5,275.65

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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.