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Finding the Fourth Proportional to 8,196.75, 11,308.89 and 4,659.30

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Solution

The fourth proportional to 8,196.75, 11,308.89 and 4,659.30 is: 6,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.75 : 11,308.89 = 4,659.30 : x
  2. Step 2: Convert to fraction form
    8,196.75/11,308.89 = 4,659.30/x
  3. Step 3: Cross multiply
    8,196.75x = 11,308.89 × 4,659.30
  4. Step 4: Simplify right side
    8,196.75x = 52,691,511.18
  5. Step 5: Solve for x
    x = 52,691,511.18/8,196.75
  6. Step 6: Final answer
    x = 6,428.34

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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.