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Finding the Fourth Proportional to 8,196.17, 11,310.72 and 4,659.40

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Solution

The fourth proportional to 8,196.17, 11,310.72 and 4,659.40 is: 6,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.17 : 11,310.72 = 4,659.40 : x
  2. Step 2: Convert to fraction form
    8,196.17/11,310.72 = 4,659.40/x
  3. Step 3: Cross multiply
    8,196.17x = 11,310.72 × 4,659.40
  4. Step 4: Simplify right side
    8,196.17x = 52,701,112.21
  5. Step 5: Solve for x
    x = 52,701,112.21/8,196.17
  6. Step 6: Final answer
    x = 6,429.97

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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.