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Finding the Fourth Proportional to 11,047.92, 16,571.88 and 7,574.64

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Solution

The fourth proportional to 11,047.92, 16,571.88 and 7,574.64 is: 11,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.92 : 16,571.88 = 7,574.64 : x
  2. Step 2: Convert to fraction form
    11,047.92/16,571.88 = 7,574.64/x
  3. Step 3: Cross multiply
    11,047.92x = 16,571.88 × 7,574.64
  4. Step 4: Simplify right side
    11,047.92x = 125,526,025.12
  5. Step 5: Solve for x
    x = 125,526,025.12/11,047.92
  6. Step 6: Final answer
    x = 11,361.96

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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.