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Finding the Fourth Proportional to 7,972.16, 11,950.49 and 3,811.09

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Solution

The fourth proportional to 7,972.16, 11,950.49 and 3,811.09 is: 5,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.16 : 11,950.49 = 3,811.09 : x
  2. Step 2: Convert to fraction form
    7,972.16/11,950.49 = 3,811.09/x
  3. Step 3: Cross multiply
    7,972.16x = 11,950.49 × 3,811.09
  4. Step 4: Simplify right side
    7,972.16x = 45,544,439.81
  5. Step 5: Solve for x
    x = 45,544,439.81/7,972.16
  6. Step 6: Final answer
    x = 5,712.93

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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.