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Finding the Fourth Proportional to 7,948.53, 11,920.16 and 2,682.12

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Solution

The fourth proportional to 7,948.53, 11,920.16 and 2,682.12 is: 4,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.53 : 11,920.16 = 2,682.12 : x
  2. Step 2: Convert to fraction form
    7,948.53/11,920.16 = 2,682.12/x
  3. Step 3: Cross multiply
    7,948.53x = 11,920.16 × 2,682.12
  4. Step 4: Simplify right side
    7,948.53x = 31,971,299.54
  5. Step 5: Solve for x
    x = 31,971,299.54/7,948.53
  6. Step 6: Final answer
    x = 4,022.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.