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Finding the Fourth Proportional to 8,342.82, 11,513.09 and 5,199

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Solution

The fourth proportional to 8,342.82, 11,513.09 and 5,199 is: 7,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.82 : 11,513.09 = 5,199 : x
  2. Step 2: Convert to fraction form
    8,342.82/11,513.09 = 5,199/x
  3. Step 3: Cross multiply
    8,342.82x = 11,513.09 × 5,199
  4. Step 4: Simplify right side
    8,342.82x = 59,856,528.92
  5. Step 5: Solve for x
    x = 59,856,528.92/8,342.82
  6. Step 6: Final answer
    x = 7,174.62

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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.