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Finding the Fourth Proportional to 11,563.28, 15,964.20 and 7,591.34

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Solution

The fourth proportional to 11,563.28, 15,964.20 and 7,591.34 is: 10,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.28 : 15,964.20 = 7,591.34 : x
  2. Step 2: Convert to fraction form
    11,563.28/15,964.20 = 7,591.34/x
  3. Step 3: Cross multiply
    11,563.28x = 15,964.20 × 7,591.34
  4. Step 4: Simplify right side
    11,563.28x = 121,189,670.03
  5. Step 5: Solve for x
    x = 121,189,670.03/11,563.28
  6. Step 6: Final answer
    x = 10,480.56

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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.