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Finding the Fourth Proportional to 11,546.99, 15,911.30 and 7,963.04

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Solution

The fourth proportional to 11,546.99, 15,911.30 and 7,963.04 is: 10,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.99 : 15,911.30 = 7,963.04 : x
  2. Step 2: Convert to fraction form
    11,546.99/15,911.30 = 7,963.04/x
  3. Step 3: Cross multiply
    11,546.99x = 15,911.30 × 7,963.04
  4. Step 4: Simplify right side
    11,546.99x = 126,702,378.04
  5. Step 5: Solve for x
    x = 126,702,378.04/11,546.99
  6. Step 6: Final answer
    x = 10,972.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.