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Finding the Fourth Proportional to 8,376.31, 11,635.06 and 8,242.33

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Solution

The fourth proportional to 8,376.31, 11,635.06 and 8,242.33 is: 11,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.31 : 11,635.06 = 8,242.33 : x
  2. Step 2: Convert to fraction form
    8,376.31/11,635.06 = 8,242.33/x
  3. Step 3: Cross multiply
    8,376.31x = 11,635.06 × 8,242.33
  4. Step 4: Simplify right side
    8,376.31x = 95,900,004.09
  5. Step 5: Solve for x
    x = 95,900,004.09/8,376.31
  6. Step 6: Final answer
    x = 11,448.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.