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Finding the Fourth Proportional to 7,966.16, 11,954.97 and 2,969.22

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Solution

The fourth proportional to 7,966.16, 11,954.97 and 2,969.22 is: 4,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.16 : 11,954.97 = 2,969.22 : x
  2. Step 2: Convert to fraction form
    7,966.16/11,954.97 = 2,969.22/x
  3. Step 3: Cross multiply
    7,966.16x = 11,954.97 × 2,969.22
  4. Step 4: Simplify right side
    7,966.16x = 35,496,936.02
  5. Step 5: Solve for x
    x = 35,496,936.02/7,966.16
  6. Step 6: Final answer
    x = 4,455.97

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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.