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Finding the Fourth Proportional to 7,972.16, 11,954.20 and 3,754

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Solution

The fourth proportional to 7,972.16, 11,954.20 and 3,754 is: 5,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.16 : 11,954.20 = 3,754 : x
  2. Step 2: Convert to fraction form
    7,972.16/11,954.20 = 3,754/x
  3. Step 3: Cross multiply
    7,972.16x = 11,954.20 × 3,754
  4. Step 4: Simplify right side
    7,972.16x = 44,876,066.80
  5. Step 5: Solve for x
    x = 44,876,066.80/7,972.16
  6. Step 6: Final answer
    x = 5,629.10

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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.