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Finding the Fourth Proportional to 8,196.09, 11,310.66 and 4,659.30

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Solution

The fourth proportional to 8,196.09, 11,310.66 and 4,659.30 is: 6,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.09 : 11,310.66 = 4,659.30 : x
  2. Step 2: Convert to fraction form
    8,196.09/11,310.66 = 4,659.30/x
  3. Step 3: Cross multiply
    8,196.09x = 11,310.66 × 4,659.30
  4. Step 4: Simplify right side
    8,196.09x = 52,699,758.14
  5. Step 5: Solve for x
    x = 52,699,758.14/8,196.09
  6. Step 6: Final answer
    x = 6,429.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.