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Finding the Fourth Proportional to 7,916.28, 11,815.96 and 6,982.42

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Solution

The fourth proportional to 7,916.28, 11,815.96 and 6,982.42 is: 10,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.28 : 11,815.96 = 6,982.42 : x
  2. Step 2: Convert to fraction form
    7,916.28/11,815.96 = 6,982.42/x
  3. Step 3: Cross multiply
    7,916.28x = 11,815.96 × 6,982.42
  4. Step 4: Simplify right side
    7,916.28x = 82,503,960.51
  5. Step 5: Solve for x
    x = 82,503,960.51/7,916.28
  6. Step 6: Final answer
    x = 10,422.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.