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Finding the Fourth Proportional to 8,735.82, 13,105.69 and 3,189.17

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Solution

The fourth proportional to 8,735.82, 13,105.69 and 3,189.17 is: 4,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.82 : 13,105.69 = 3,189.17 : x
  2. Step 2: Convert to fraction form
    8,735.82/13,105.69 = 3,189.17/x
  3. Step 3: Cross multiply
    8,735.82x = 13,105.69 × 3,189.17
  4. Step 4: Simplify right side
    8,735.82x = 41,796,307.14
  5. Step 5: Solve for x
    x = 41,796,307.14/8,735.82
  6. Step 6: Final answer
    x = 4,784.47

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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.