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Finding the Fourth Proportional to 8,056.31, 11,137.68 and 7,982.46

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Solution

The fourth proportional to 8,056.31, 11,137.68 and 7,982.46 is: 11,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.31 : 11,137.68 = 7,982.46 : x
  2. Step 2: Convert to fraction form
    8,056.31/11,137.68 = 7,982.46/x
  3. Step 3: Cross multiply
    8,056.31x = 11,137.68 × 7,982.46
  4. Step 4: Simplify right side
    8,056.31x = 88,906,085.09
  5. Step 5: Solve for x
    x = 88,906,085.09/8,056.31
  6. Step 6: Final answer
    x = 11,035.59

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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.