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Finding the Fourth Proportional to 7,982.84, 11,016.05 and 4,445.97

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Solution

The fourth proportional to 7,982.84, 11,016.05 and 4,445.97 is: 6,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.84 : 11,016.05 = 4,445.97 : x
  2. Step 2: Convert to fraction form
    7,982.84/11,016.05 = 4,445.97/x
  3. Step 3: Cross multiply
    7,982.84x = 11,016.05 × 4,445.97
  4. Step 4: Simplify right side
    7,982.84x = 48,977,005.59
  5. Step 5: Solve for x
    x = 48,977,005.59/7,982.84
  6. Step 6: Final answer
    x = 6,135.29

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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.