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Finding the Fourth Proportional to 7,969.49, 11,954.25 and 3,292.16

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Solution

The fourth proportional to 7,969.49, 11,954.25 and 3,292.16 is: 4,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.49 : 11,954.25 = 3,292.16 : x
  2. Step 2: Convert to fraction form
    7,969.49/11,954.25 = 3,292.16/x
  3. Step 3: Cross multiply
    7,969.49x = 11,954.25 × 3,292.16
  4. Step 4: Simplify right side
    7,969.49x = 39,355,303.68
  5. Step 5: Solve for x
    x = 39,355,303.68/7,969.49
  6. Step 6: Final answer
    x = 4,938.25

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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.